Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018u |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11950848 |
Modular degree for the optimal curve |
Δ |
3.7461254192875E+22 |
Discriminant |
Eigenvalues |
2- 0 -3 3 -3 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12243744,-13605860173] |
[a1,a2,a3,a4,a6] |
j |
86697/16 |
j-invariant |
L |
0.32694811942409 |
L(r)(E,1)/r! |
Ω |
0.081736717721515 |
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 |
122018b1 122018g1 |
Quadratic twists by: 13 -19 |