Atkin-Lehner |
2- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11564a |
Isogeny class |
Conductor |
11564 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5796 |
Modular degree for the optimal curve |
Δ |
-5441972144 = -1 · 24 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-29714] |
[a1,a2,a3,a4,a6] |
Generators |
[65:349:1] |
Generators of the group modulo torsion |
j |
-7340032/59 |
j-invariant |
L |
4.411846644508 |
L(r)(E,1)/r! |
Ω |
0.36482782176276 |
Real period |
R |
4.0309851947794 |
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 |
46256v1 104076d1 11564d1 |
Quadratic twists by: -4 -3 -7 |