  For an oriented finite volume hyperbolic 3-manifold M with a fixed spin
structure \eta, we consider a sequence of invariants {\tau_n(M; \eta)}. Roughly
speaking, {\tau_n(M; \eta)} is the Reidemeister torsion of M with respect to
the representation given by the composition of the lift of the holonomy
representation defined by \eta, and the n-dimensional, irreducible, complex
representation of SL(2,C). In the present work, we focus on two aspects of this
invariant: its asymptotic behavior and its relationship with the complex-length
spectrum of the manifold. Concerning the former, we prove that for suitable
spin structures, log(\tau_n(M; \eta)) grows as -n^2 Vol(M)/4\pi, extending thus
the result obtained by W. Mueller for the compact case. Concerning the latter,
we prove that the sequence {\tau_n(M; \eta)} determines the complex-length
spectrum of the manifold up to complex conjugation.
