Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7888h |
Isogeny class |
Conductor |
7888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-140609847296 = -1 · 224 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 1 1 2 -1 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166520,26099156] |
[a1,a2,a3,a4,a6] |
j |
-124671038996895481/34328576 |
j-invariant |
L |
3.3120083662152 |
L(r)(E,1)/r! |
Ω |
0.82800209155381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986b1 31552q1 70992q1 |
Quadratic twists by: -4 8 -3 |