Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ee |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.9340597530798E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22576343,-42097247769] |
[a1,a2,a3,a4,a6] |
j |
-14837772556740428569/342100087875000 |
j-invariant |
L |
0.82999446694016 |
L(r)(E,1)/r! |
Ω |
0.034583102844198 |
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 |
19110l4 8190ca4 |
Quadratic twists by: -3 -7 |