Since we are talking about scope mounting, we might as well touch on how to get the scope sitting straight in the rings. If you intend to shoot at long range you will need to make both elevation adjustments for range and windage adjustments to correct for wind conditions, spin drift, and various other bogey men. There is nothing more frustrating than finding that an elevation adjustment creates a windage error or that a windage adjustment creates an elevation error simply because the scope is not square.
Getting the cross hairs straight without canting can sometimes be a challenge. There are all sorts of gimmicks you can buy to ensure that your cross hairs are not canted such as plastic wings with lines that you are supposed to line up with the horizontal wire, level-levels, and helpful hints like hold the horizontal wire on the horizon or hold the vertical wire in the center of the cocking piece, etc, etc, I discovered a quick and dirty solution to the problem that is reasonably simple and satisfactory. Open the hinged floor plate so that you have a flat surface to index, and remove the windage cap from the scope. Then place a carpenter's square under the magazine box and against the windage turret of the scope. Provided you have a flat bottom on the rifle as an index, any canting is immediately obvious as there will be a space between the top or the bottom of the windage turret and the square. If the under side of the rifle does not provide a flat surface, take the action out of the stock and place the square on the magazine box or on the bottom surface of the receiver.
When you tighten down your scope ring screws, increase the torque gradually moving from one side to the other in an X shape pattern on a 4 screw ring like the ones in your pic, to prevent the scope from rolling slightly as the ring tightens on the tube. Once the scope is secure, bore sight it and then it will be ready to sight in. Do not over tighten these screws, but do not leave them too loose either. If you don't have an in/lb torque wrench, hold the screwdriver handle vertically between your thumb and first two fingers. Even if you attempt to over tighten the screws, with this hold on the screw driver, you shouldn't be able to. Use the carpenter's square to check again after the scope screws are properly torqued.
Other accuracy enhancements you can make to your rifle might include, but are not limited to: glass and pillar bedding the action to the stock, lapping the scope rings, cutting a new crown, and lapping the locking lugs on the bolt to ensure an even lock-up. Adjusting the trigger won't make the rifle more accurate, but it might make it easier to shoot the rifle accurately, ditto for the addition of a shooting sling, and adjusting the LOP to ensure the rifle fits you well. Down the road you may wish to install a target scope, a match barrel, and an adjustable stock. Some folks find that a bipod is a useful accessory, and the installation of an Anschutz type rail on the underside of the forend will provide you with the ability to mount an adjustable handstop and some latitude as where to position the bipod.
