Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2548j |
Isogeny class |
Conductor |
2548 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-6580543400704 = -1 · 28 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 0 3 7- -2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28616,-1867292] |
[a1,a2,a3,a4,a6] |
j |
-86044336128/218491 |
j-invariant |
L |
2.2020770541791 |
L(r)(E,1)/r! |
Ω |
0.18350642118159 |
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 |
10192bg1 40768n1 22932z1 63700i1 |
Quadratic twists by: -4 8 -3 5 |