Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Use Fields
EDGESELECTIONTAG_ENABLEFIELDSParameter: Restore Selection
EDGESELECTIONTAG_COMMAND1Parameter: Select Edges
EDGESELECTIONTAG_COMMAND3Parameter: Hide Edges
EDGESELECTIONTAG_COMMAND5Parameter: Select and Hide Others
EDGESELECTIONTAG_COMMAND2Parameter: Deselect Edges
EDGESELECTIONTAG_COMMAND4Parameter: Unhide Edges
EDGESELECTIONTAG_COMMAND6Parameter: Tolerance
EDGESELECTIONTAG_FIELDTOLERANCEParameter: Use Deformed Points
EDGESELECTIONTAG_DEFORMEDSTATEParameter: Fields
EDGESELECTIONTAG_FIELDS