Atkin-Lehner |
2+ 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560d |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5772656484000000 = 28 · 38 · 56 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95996,-10816704] |
[a1,a2,a3,a4,a6] |
j |
382162159240682704/22549439390625 |
j-invariant |
L |
0.54445753773405 |
L(r)(E,1)/r! |
Ω |
0.27222894898324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56280h2 |
Quadratic twists by: -4 |