The term is just ato de, since the no really belongs to a preceding noun.
Ato means back, after, rear, or the rest; derefers to a place where something happens, or pinpoints a time period.
So ato de can mean at the back/rear, after . . ., or later.
Dinner no ato de = after dinner.
Ato can translate to many things; Trace, tracks, mark, scar, sign, remains, ruins, after, behind, later, rear, remainder... It all depends on the context.
Ato translates to Edict. Here is a Japanese-English translator: http://jisho.org/words?jap=ato&eng=&dict=edict
後 (あと) ato (pronounced ah-toh)
Ato Stephens was born in 1979.
ATO Records was created in 2000.
Yoshifumi Ato was born in 1983.
Ato Essandoh is 6' 3".
Ato Gordon is 5' 10".
Mt Ato is located on the top of the bottom of the ocean
Ato, aco, spins
Ato Boldon was born on December 30, 1973.
Ato Boldon was born on December 30, 1973.