Atkin-Lehner |
2- 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
33232h |
Isogeny class |
Conductor |
33232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
510975232 = 28 · 313 · 67 |
Discriminant |
Eigenvalues |
2- 1 -4 -2 4 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40725,3149759] |
[a1,a2,a3,a4,a6] |
Generators |
[115:22:1] |
Generators of the group modulo torsion |
j |
29179489514684416/1995997 |
j-invariant |
L |
4.0336971370791 |
L(r)(E,1)/r! |
Ω |
1.2519099327999 |
Real period |
R |
1.611017306995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8308c1 |
Quadratic twists by: -4 |