Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908bh |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2095104 |
Modular degree for the optimal curve |
Δ |
3458333444907280464 = 24 · 317 · 73 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3766476,-2812102895] |
[a1,a2,a3,a4,a6] |
Generators |
[23534:3597615:1] |
Generators of the group modulo torsion |
j |
1477024483929604096/864420850107 |
j-invariant |
L |
4.344339824441 |
L(r)(E,1)/r! |
Ω |
0.10837547384466 |
Real period |
R |
1.6702502230501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27636t1 82908u1 |
Quadratic twists by: -3 -7 |