Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5664d |
Isogeny class |
Conductor |
5664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
11328 = 26 · 3 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,152] |
[a1,a2,a3,a4,a6] |
Generators |
[13:42:1] |
Generators of the group modulo torsion |
j |
343000000/177 |
j-invariant |
L |
4.9361318441398 |
L(r)(E,1)/r! |
Ω |
3.9803726184812 |
Real period |
R |
2.4802360569063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5664b1 11328b1 16992c1 |
Quadratic twists by: -4 8 -3 |