Atkin-Lehner |
2- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
114868a |
Isogeny class |
Conductor |
114868 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
158700 |
Modular degree for the optimal curve |
Δ |
2242076788432 = 24 · 13 · 476 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8836,311469] |
[a1,a2,a3,a4,a6] |
j |
442368/13 |
j-invariant |
L |
0.4087598484302 |
L(r)(E,1)/r! |
Ω |
0.81751925953445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52a2 |
Quadratic twists by: -47 |