Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696n |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
23330816 = 218 · 89 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,-255] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4800:1] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
5.54779939912 |
L(r)(E,1)/r! |
Ω |
1.544953318154 |
Real period |
R |
3.5909171713671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5696g1 1424f1 51264bb1 |
Quadratic twists by: -4 8 -3 |