Atkin-Lehner |
2+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6136a |
Isogeny class |
Conductor |
6136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-26961584 = -1 · 24 · 134 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 3 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-579,-5566] |
[a1,a2,a3,a4,a6] |
j |
-1343969093632/1685099 |
j-invariant |
L |
3.8921966172135 |
L(r)(E,1)/r! |
Ω |
0.48652457715169 |
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 |
12272g1 49088e1 55224v1 79768m1 |
Quadratic twists by: -4 8 -3 13 |