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