Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bk |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
168278168350752768 = 230 · 33 · 72 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236780,39772271] |
[a1,a2,a3,a4,a6] |
j |
54374249681309671875/6232524753731584 |
j-invariant |
L |
3.1168581683418 |
L(r)(E,1)/r! |
Ω |
0.31168577730082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
123354g3 |
Quadratic twists by: -3 |