Atkin-Lehner |
2- 3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526x |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
6922240 |
Modular degree for the optimal curve |
Δ |
-3.180411353274E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3036829,-1793224029] |
[a1,a2,a3,a4,a6] |
j |
4248712378147781938967/4362704188304523264 |
j-invariant |
L |
4.0030205363237 |
L(r)(E,1)/r! |
Ω |
0.076981164031389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842b1 |
Quadratic twists by: -3 |