Atkin-Lehner |
2- 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728h |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
7.436508189153E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2129149,1120801767] |
[a1,a2,a3,a4,a6] |
j |
4169674132389044150272/290488601138788877 |
j-invariant |
L |
0.38029727587802 |
L(r)(E,1)/r! |
Ω |
0.19014794280961 |
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 |
30932b1 |
Quadratic twists by: -4 |