Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878j |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
607567201164 = 22 · 36 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7974,273496] |
[a1,a2,a3,a4,a6] |
j |
76922876001889/833425516 |
j-invariant |
L |
1.8384649213967 |
L(r)(E,1)/r! |
Ω |
0.91923246069789 |
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 |
3542j1 |
Quadratic twists by: -3 |