Atkin-Lehner |
2- 3+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370q |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4479840 |
Modular degree for the optimal curve |
Δ |
1.3676325E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-102102131,397017992753] |
[a1,a2,a3,a4,a6] |
j |
117714003845048537387399963569/13676325000000000000000 |
j-invariant |
L |
1.8105320903594 |
L(r)(E,1)/r! |
Ω |
0.12070213935716 |
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 |
97110x1 |
Quadratic twists by: -3 |