Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568o |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-426105142272 = -1 · 210 · 315 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -3 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377,31407] |
[a1,a2,a3,a4,a6] |
Generators |
[34:243:1] |
Generators of the group modulo torsion |
j |
-5802287872/416118303 |
j-invariant |
L |
5.0954915576115 |
L(r)(E,1)/r! |
Ω |
0.77790398819272 |
Real period |
R |
0.43668555802537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5568x1 348c1 16704u1 |
Quadratic twists by: -4 8 -3 |