Your .270 Win. will be a long action. As for rings and bases, Leupold is a different system than weaver and doesn't interchange.
Also consider the objective diameter as the rings will come in low, med, high, and extra high.
Might be better to take the rifle to a place that mounts scopes so you won't have to make several trips back and forth should you get the wrong mounting hardware. Now mounting scopes ain't rocket science, but with so many different combinations of scopes, rings, and bases, every once in awhile a fellow takes home the wrong stuff. It happens from time to time.......
Much easier if your not familar with the hardware to have it done in a gunshop.