Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Angle
LATHEOBJECT_ROTATE
Parameter: Subdivision
LATHEOBJECT_SUB
Parameter: Isoparm Subdivision
LATHEOBJECT_ISOPARM
Parameter: Movement
LATHEOBJECT_MOVE
Parameter: Scaling
LATHEOBJECT_SCALE
Parameter: Flip Normals
LATHEOBJECT_FLIPNORMALS