Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11360j |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86784 |
Modular degree for the optimal curve |
Δ |
8875000000000 = 29 · 512 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -2 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1610896,786417304] |
[a1,a2,a3,a4,a6] |
Generators |
[-1206:31250:1] |
Generators of the group modulo torsion |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
4.3556581590378 |
L(r)(E,1)/r! |
Ω |
0.5262982259361 |
Real period |
R |
2.0690066697881 |
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 |
11360b1 22720v1 102240s1 56800d1 |
Quadratic twists by: -4 8 -3 5 |