Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186v |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
6139584 |
Modular degree for the optimal curve |
Δ |
-2.5121943811502E+20 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107654691,429957391075] |
[a1,a2,a3,a4,a6] |
j |
-643696434148521667617/1171957219328 |
j-invariant |
L |
5.7044093778237 |
L(r)(E,1)/r! |
Ω |
0.1501160362586 |
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 |
32186k1 |
Quadratic twists by: -11 |