Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See page_maxonapi_getting_started_foundations_cinema_parameters.
Parameter: Laziness
ALIGN_LAZINESS
Parameter: Source
ALIGN_SOURCE
Parameter: Invert
ALIGN_INVERT
Parameter: X Rotation
ALIGN_XROT
Parameter: Y Rotation
ALIGN_YROT
Parameter: Z Rotation
ALIGN_ZROT
Parameter: Type
ALIGN_TYPE
Parameter: Axis
ALIGN_AXIS
Parameter: Variation
ALIGN_VAR
Parameter: On
IN_ALIGN_ON
Parameter: Animation Time
IN_ALIGN_ATIME