Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cu |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
37194277507200000 = 210 · 38 · 55 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321528,69557848] |
[a1,a2,a3,a4,a6] |
j |
4924392082991104/49825153125 |
j-invariant |
L |
2.2018525244439 |
L(r)(E,1)/r! |
Ω |
0.3669754207407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680k1 7920l1 10560ch1 |
Quadratic twists by: -4 8 -3 |