Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26560m |
Isogeny class |
Conductor |
26560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-13598720000 = -1 · 218 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 3 6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6988,224912] |
[a1,a2,a3,a4,a6] |
j |
-143960212521/51875 |
j-invariant |
L |
4.9318845275436 |
L(r)(E,1)/r! |
Ω |
1.232971131886 |
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 |
26560e1 6640i1 |
Quadratic twists by: -4 8 |