Atkin-Lehner |
2- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784q |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
360998400 |
Modular degree for the optimal curve |
Δ |
-1.3903116255661E+33 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26290262989,-725449505540366] |
[a1,a2,a3,a4,a6] |
j |
490623736503277950845970288627063/339431549210477278829108789248 |
j-invariant |
L |
0.61858134095349 |
L(r)(E,1)/r! |
Ω |
0.0085914030295861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098b1 |
Quadratic twists by: -4 |