The windage knob and scale are now your elevation and the elevation is now windage. You will need to do some shooting beforehand to see what the starting offset is. As the scope is over the bore, you originally zeroed by creating an upward bore angle to lob the bullet onto the crosshair. Now that you have the rifle on it's side, that has become windage in the direction you turned the rifle and all the gravity drop you dial on to zero is gone, so the impact will now be low and in the direction of the scope. How much depends on the scope height and cartridge along with the initial zero distance.
It's not a complicated problem to solve as ballistic problems go, it can be a simple entry in the logbook. Normally I would log settings to get a parallel bore zero. I want to get elevation dialed on (via the windage knob now) so I can dial range as required. Then I'd like the elevation knob setting to get the bullet directly on the bore line, that is offset away from the scope by the bore/scope height. Since that's rarely much over 2 to 3 inches, and I know what it is, I can hit POA=POI out to whatever range I can dial on/hold even on multiple targets.