Atkin-Lehner |
3- 7+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95571c |
Isogeny class |
Conductor |
95571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
18044856081 = 38 · 72 · 372 · 41 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3501,80352] |
[a1,a2,a3,a4,a6] |
j |
6510918987217/24752889 |
j-invariant |
L |
2.46554402789 |
L(r)(E,1)/r! |
Ω |
1.2327719881496 |
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 |
31857b1 |
Quadratic twists by: -3 |