Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Update
EDGESELECTIONTAG_UPDATE
Parameter: Select
EDGESELECTIONTAG_COMMAND1
Parameter: Deselect
EDGESELECTIONTAG_COMMAND4
Parameter: Hide
EDGESELECTIONTAG_COMMAND5
Parameter: Show
EDGESELECTIONTAG_COMMAND6
Parameter: Solo
EDGESELECTIONTAG_COMMAND2
Parameter: Show All
EDGESELECTIONTAG_UNHIDEALL
Parameter: Use Fields
EDGESELECTIONTAG_ENABLEFIELDS
Parameter: Tolerance
EDGESELECTIONTAG_FIELDTOLERANCE
Parameter: Use Deformed Points
EDGESELECTIONTAG_DEFORMEDSTATE
Parameter: Fields
EDGESELECTIONTAG_FIELDS