The remark about the orientation of the turrets is totally incorrect. It makes no difference as long as the crosshairs are level with the axis of the rifle. Some optics(Aimpoint is one) have the direction of adjustment marked for both up/down and left/right so the scope can be mounted either way.
You may have overtightened the rings causing the tube to be tweeked. I use a lot of $100 and under scopes and always give the side of the tube or the rings a tap with a small nonmarring hammer or other tool after making adjustments.