Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568be |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-801792 = -1 · 210 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -3 7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-57] |
[a1,a2,a3,a4,a6] |
j |
-562432/783 |
j-invariant |
L |
3.3400118490721 |
L(r)(E,1)/r! |
Ω |
1.113337283024 |
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 |
5568d1 1392a1 16704cn1 |
Quadratic twists by: -4 8 -3 |