This enzyme belongs to the family of oxidoreductases, specifically those acting on the CH-NH2 group of donors with NAD+ or NADP+ as acceptor. The systematic name of this enzyme class is L-tryptophan:NAD(P)+ oxidoreductase (deaminating). Other names in common use include NAD(P)+-L-tryptophan dehydrogenase, L-tryptophan dehydrogenase, L-Trp-dehydrogenase, and TDH. This enzyme has at least one effector, calcium.
References
Vackova K, Mehta A, Kutacek M (1985). "Tryptophan aminotransferase and tryptophan dehydrogenase - activities in some cell compartments of spinach leaves - the effect of calcium-ions on tryptophan dehydrogenase". Biol. Plant. 27 (2–3): 154–158. doi:10.1007/BF02902153.