Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135c |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-8.3435373509085E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -5 -6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-265126,-4395165052] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
0.23760059011317 |
L(r)(E,1)/r! |
Ω |
0.059400147527865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99405q1 705b1 |
Quadratic twists by: -3 -47 |