  We give a conceptual proof of the fact that the realisation of the degree
zero part of the polylogarithm on abelian schemes in analytic Deligne
cohomology can be described in terms of the Bismut-K\"ohler higher analytic
torsion form of the Poincar\'e bundle. Furthermore, we provide a new axiomatic
characterization of the arithmetic Chern character of the Poincar\'e bundle
using only invariance properties under isogenies. For this we obtain a
decomposition result for the arithmetic Chow group of independent interest.
