Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33708b |
Isogeny class |
Conductor |
33708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2232360 |
Modular degree for the optimal curve |
Δ |
47815442235925248 = 28 · 3 · 538 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -1 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92551868,342740157576] |
[a1,a2,a3,a4,a6] |
Generators |
[18752649:1043009790:4913] |
Generators of the group modulo torsion |
j |
5500882402000/3 |
j-invariant |
L |
5.4403737991454 |
L(r)(E,1)/r! |
Ω |
0.21874937629396 |
Real period |
R |
8.2901170452318 |
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 |
101124o1 33708d1 |
Quadratic twists by: -3 53 |