Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408di |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.2444264330628E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197397409,-1067547101089] |
[a1,a2,a3,a4,a6] |
j |
12979803788407988032164772/342472295084049 |
j-invariant |
L |
1.9333275112553 |
L(r)(E,1)/r! |
Ω |
0.04027765644582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408h2 14352i2 |
Quadratic twists by: -4 8 |