Back to the check valve...BigInch is correct (Cv of check valve is independent of orientation) except in a very narrow, specific range of flow conditions:
If the check valve poppet is big and heavy, as it might be for a very large valve, then the weight of the poppet may change the restoring force, and affect the Cv of the valve slightly, at pressure drops near the cracking pressure of the valve. I.e. until the poppet has moved from its seated position to its full-open position, the Cv of the opening is dictated by the balance of spring, gravity, and fluid dynamic (e.g. drag) forces.