Atkin-Lehner |
3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391b |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29635200 |
Modular degree for the optimal curve |
Δ |
2.0573768604662E+27 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11+ 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-358780331,1442180061803] |
[a1,a2,a3,a4,a6] |
j |
108564537417325852524544/43731285645734113581 |
j-invariant |
L |
1.5195082209416 |
L(r)(E,1)/r! |
Ω |
0.042208561143792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389c1 |
Quadratic twists by: -19 |