Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571i |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
1712357577 = 37 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-798,8379] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:138:1] |
Generators of the group modulo torsion |
j |
56203893222625/1712357577 |
j-invariant |
L |
3.857712823972 |
L(r)(E,1)/r! |
Ω |
1.4860906155598 |
Real period |
R |
0.37083999200708 |
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 |
34713j1 80997g1 |
Quadratic twists by: -3 -7 |