Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176u |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9191424 |
Modular degree for the optimal curve |
Δ |
1.1359789853314E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9936003,-12044045950] |
[a1,a2,a3,a4,a6] |
j |
36330500236041936001/38043706373892 |
j-invariant |
L |
0.68032076585651 |
L(r)(E,1)/r! |
Ω |
0.085040133000554 |
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 |
14022g1 37392h1 |
Quadratic twists by: -4 -3 |