Not sure the problem -- after applying T_19 the symbol becomes eisenstein. Lift to eigen won't work then (because it tries to find a non-eisenstein e-value). But here it is only trying to lift to some symbol.
sage: MS = PSModularSymbols(Gamma0(11),coefficients=Symk(0))
sage: phi = MS.random_element()
sage: phi.lift(11,5)
Modular symbol of level 11 with values in Space of 11-adic distributions with k=0 action and precision cap 5
sage: phi = phi.hecke(19)
sage: phi.lift(11,5)
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
/Applications/sage-5.6/devel/sage-main/sage/modular/pollack_stevens/<ipython console> in <module>()
/Applications/sage-5.6/local/lib/python2.7/site-packages/sage/modular/pollack_stevens/modsym.pyc in lift(self, p, M, alpha, new_base_ring, algorithm, eigensymbol, check)
1038 return self._lift_to_OMS_eigen(p, M, new_base_ring, alpha, newM, eisenloss, q, aq, check)
1039 else:
-> 1040 return self._lift_to_OMS(p, M, new_base_ring, check)
1041 elif algorithm == 'greenberg':
1042 return self._lift_greenberg(p, M, new_base_ring, check)
/Applications/sage-5.6/local/lib/python2.7/site-packages/sage/modular/pollack_stevens/modsym.pyc in _lift_to_OMS(self, p, M, new_base_ring, check)
1260 ## (Here I'm using the opposite sign convention of [PS1] regarding D'_i and D''_i)
1261
-> 1262 D[manin.gen(0)] = -t.solve_diff_eqn() ###### Check this!
1263
1264 return MSS(D)
/Applications/sage-5.6/local/lib/python2.7/site-packages/sage/modular/pollack_stevens/dist.so in sage.modular.pollack_stevens.dist.Dist_vector.solve_diff_eqn (sage/modular/pollack_stevens/dist.c:12987)()
949 else:
950 ans = self._new_c()
--> 951 ans.ordp = min(a.valuation(p) for a in v)
952 if ans.ordp < 0:
953 scalar = K(p) ** (-ans.ordp)
TypeError: an integer is required
Not sure the problem -- after applying T_19 the symbol becomes eisenstein. Lift to eigen won't work then (because it tries to find a non-eisenstein e-value). But here it is only trying to lift to some symbol.