Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bo |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-29126810615315 = -1 · 5 · 73 · 198 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1685,-258854] |
[a1,a2,a3,a4,a6] |
j |
32768/1805 |
j-invariant |
L |
1.2680612531663 |
L(r)(E,1)/r! |
Ω |
0.31701531586229 |
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 |
88445n1 4655o1 |
Quadratic twists by: -7 -19 |