Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156j |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
56549377284624 = 24 · 36 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377,472997] |
[a1,a2,a3,a4,a6] |
j |
3937024/841 |
j-invariant |
L |
3.5566696420418 |
L(r)(E,1)/r! |
Ω |
0.59277827374346 |
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 |
5684a1 51156ba1 |
Quadratic twists by: -3 -7 |