Atkin-Lehner |
3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56637j |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
857404634522877 = 310 · 75 · 29 · 313 |
Discriminant |
Eigenvalues |
2 3- 0 7- 3 -3 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-195375,-33209411] |
[a1,a2,a3,a4,a6] |
j |
1131366088000000000/1176138044613 |
j-invariant |
L |
6.8128788864627 |
L(r)(E,1)/r! |
Ω |
0.22709596280417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18879d1 |
Quadratic twists by: -3 |