Atkin-Lehner |
5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81685a |
Isogeny class |
Conductor |
81685 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2338572199435 = 5 · 17 · 317 |
Discriminant |
Eigenvalues |
1 1 5+ 2 2 -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3384,17751] |
[a1,a2,a3,a4,a6] |
j |
4826809/2635 |
j-invariant |
L |
1.4248422824405 |
L(r)(E,1)/r! |
Ω |
0.71242116333433 |
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 |
2635b1 |
Quadratic twists by: -31 |