Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524i |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
146598164446032 = 24 · 32 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1213173,513914076] |
[a1,a2,a3,a4,a6] |
Generators |
[96405:766521:125] |
Generators of the group modulo torsion |
j |
83369132032000/61893 |
j-invariant |
L |
9.2411891655882 |
L(r)(E,1)/r! |
Ω |
0.48127708075908 |
Real period |
R |
3.2002317488549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588f1 |
Quadratic twists by: -23 |