Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5776j |
Isogeny class |
Conductor |
5776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-224755712 = -1 · 215 · 193 |
Discriminant |
Eigenvalues |
2- 3 2 3 2 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,722] |
[a1,a2,a3,a4,a6] |
j |
-27/8 |
j-invariant |
L |
5.7545752340051 |
L(r)(E,1)/r! |
Ω |
1.4386438085013 |
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 |
722b1 23104bn1 51984cd1 5776k1 |
Quadratic twists by: -4 8 -3 -19 |