Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320g |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
66064896000 = 212 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2461,46165] |
[a1,a2,a3,a4,a6] |
j |
402601199104/16129125 |
j-invariant |
L |
2.1832949308927 |
L(r)(E,1)/r! |
Ω |
1.0916474654468 |
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 |
28320u1 56640bg1 84960bj1 |
Quadratic twists by: -4 8 -3 |