Atkin-Lehner |
2- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5056n |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
82837504 = 220 · 79 |
Discriminant |
Eigenvalues |
2- 1 -3 1 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2977,-63521] |
[a1,a2,a3,a4,a6] |
j |
11134383337/316 |
j-invariant |
L |
1.292627600855 |
L(r)(E,1)/r! |
Ω |
0.64631380042748 |
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 |
5056i1 1264b1 45504bn1 126400bl1 |
Quadratic twists by: -4 8 -3 5 |