Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Use Fields
EDGESELECTIONTAG_ENABLEFIELDS
Parameter: Restore Selection
EDGESELECTIONTAG_COMMAND1
Parameter: Select Edges
EDGESELECTIONTAG_COMMAND3
Parameter: Hide Edges
EDGESELECTIONTAG_COMMAND5
Parameter: Select and Hide Others
EDGESELECTIONTAG_COMMAND2
Parameter: Deselect Edges
EDGESELECTIONTAG_COMMAND4
Parameter: Unhide Edges
EDGESELECTIONTAG_COMMAND6
Parameter: Tolerance
EDGESELECTIONTAG_FIELDTOLERANCE
Parameter: Use Deformed Points
EDGESELECTIONTAG_DEFORMEDSTATE
Parameter: Fields
EDGESELECTIONTAG_FIELDS