Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568d |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
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 |
2.5479165109906 |
L(r)(E,1)/r! |
Ω |
2.5479165109906 |
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 |
5568be1 696g1 16704v1 |
Quadratic twists by: -4 8 -3 |