Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5696a |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-23330816 = -1 · 218 · 89 |
Discriminant |
Eigenvalues |
2+ 1 1 -4 2 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,287] |
[a1,a2,a3,a4,a6] |
Generators |
[11:32:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
4.3651782304357 |
L(r)(E,1)/r! |
Ω |
1.9631499486044 |
Real period |
R |
0.55588955819942 |
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 |
5696j1 89a1 51264t1 |
Quadratic twists by: -4 8 -3 |