Atkin-Lehner |
2- 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bd |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
6.2798913411079E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61782773,-182971852419] |
[a1,a2,a3,a4,a6] |
j |
35776542537193494213655561/861439141441406250000 |
j-invariant |
L |
6.9028731763182 |
L(r)(E,1)/r! |
Ω |
0.053928696002292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430f1 |
Quadratic twists by: -3 |