Positivity of constants related to elliptic curves

Let E   be an elliptic curve defined over QQ. It is known that the structure of the reduction E(Fp)E(Fp) isequation(1)E(Fp)≃Z/dpZ⊕Z/epZE(Fp)≃Z/dpZ⊕Z/epZ with dp|epdp|ep. The constantCE,j=∑k=1∞μ(k)[Q(E[jk]):Q] appears as the density of primes p with good reduction for E   and dp=jdp=j (under the GRH in the non-CM case, unconditionally in the CM case). We give appropriate conditions for this constant to be positive when j>1j>1.