Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684d |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
56280414729168 = 24 · 39 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,-213003] |
[a1,a2,a3,a4,a6] |
j |
3538944/1519 |
j-invariant |
L |
3.9145378257332 |
L(r)(E,1)/r! |
Ω |
0.48931722807757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54684g1 7812d1 |
Quadratic twists by: -3 -7 |