Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25560g |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-46583100000000 = -1 · 28 · 38 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22287,1322066] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:790:1] [277:-4050:1] |
Generators of the group modulo torsion |
j |
-6560109033424/249609375 |
j-invariant |
L |
7.7919822373087 |
L(r)(E,1)/r! |
Ω |
0.63316979633512 |
Real period |
R |
0.38457211055445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120l1 8520d1 127800f1 |
Quadratic twists by: -4 -3 5 |