Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bp |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
1.5027818633709E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35898987,82786664090] |
[a1,a2,a3,a4,a6] |
j |
1713494904330643029289/50327860543488 |
j-invariant |
L |
1.3619763920778 |
L(r)(E,1)/r! |
Ω |
0.17024706868611 |
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 |
13266r1 35376u1 |
Quadratic twists by: -4 -3 |