2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156392This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist knots, we also prove that the non-abelian Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot.36 pages and 4 figures. Title and Abstract are modified. typos and inconsistent notations corrected. minor changes. to appear in Journal of Knot Theory and Its RamificationsGeometric Topology57M25, 57M27text