Atkin-Lehner |
2- 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560be |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4067970829516800 = 222 · 312 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46947,2431586] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:2430:1] [-89:2430:1] |
Generators of the group modulo torsion |
j |
3832302404449/1362355200 |
j-invariant |
L |
10.314327707158 |
L(r)(E,1)/r! |
Ω |
0.40289572072884 |
Real period |
R |
3.200061199614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6570i1 17520i1 |
Quadratic twists by: -4 -3 |