Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bu |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1.4481653709538E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17339621,-20903272675] |
[a1,a2,a3,a4,a6] |
j |
32765849647039657/8229948198912 |
j-invariant |
L |
1.8083767796975 |
L(r)(E,1)/r! |
Ω |
0.075349032559947 |
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 |
19074f1 3366m1 |
Quadratic twists by: -3 17 |