Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bc |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
131604480 |
Modular degree for the optimal curve |
Δ |
-7.3847279252305E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12183965793,-517805967176451] |
[a1,a2,a3,a4,a6] |
j |
-39334245666480232823953/14521637786211072 |
j-invariant |
L |
0.86217220866912 |
L(r)(E,1)/r! |
Ω |
0.0071847684018476 |
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 |
19074bd1 57222e1 |
Quadratic twists by: -3 17 |