Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568ba |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-7216128 = -1 · 210 · 35 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 5 -5 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
5.0499176228368 |
L(r)(E,1)/r! |
Ω |
1.3488844179817 |
Real period |
R |
0.74875468283529 |
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 |
5568a1 1392c1 16704cz1 |
Quadratic twists by: -4 8 -3 |