Here is an example of a scope mounted using an EAW Hebelschwenkmontage (lever actuated rotary scope mount). It operates on the same principle as the Redfield, Buehler and Leupold rotary dovetail mounts, with the front part of the mount fitting into a recess in the base, which is oriented 90 degrees from the long axis of the rifle and is fastened to the receiver ring. The scope is then rotated 90 degrees to where the rear part of the mount locks into a base mounted on the bridge of the rifle.

As you can see, the scope is mounted as low as the unaltered bolt handle will allow. It also has provision for windage adjustment in the rear part of the mount, which is essential since the German scope has no such provision internally. (Kuduae gets credit for the photo.)

Scopes with rails are usually made with light weight alloy tubes and the rails are intended to stiffen the tubes against the force required to twist or latch the scopes into position. Removing them will increase the possibility of damage.