Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
26560p |
Isogeny class |
Conductor |
26560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-212480000 = -1 · 212 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 5 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,695] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] |
Generators of the group modulo torsion |
j |
-1906624/51875 |
j-invariant |
L |
6.097038774807 |
L(r)(E,1)/r! |
Ω |
1.4864860428118 |
Real period |
R |
1.0254113727287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26560k1 13280a1 |
Quadratic twists by: -4 8 |