Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524b |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
1319383480014288 = 24 · 34 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38793,2378286] |
[a1,a2,a3,a4,a6] |
Generators |
[3090:171396:1] |
Generators of the group modulo torsion |
j |
2725888000/557037 |
j-invariant |
L |
3.4877352923337 |
L(r)(E,1)/r! |
Ω |
0.45685717065511 |
Real period |
R |
3.8170959324915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588c1 |
Quadratic twists by: -23 |