Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650s |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
2933060009984000 = 230 · 53 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56890,4540537] |
[a1,a2,a3,a4,a6] |
Generators |
[305:3783:1] |
Generators of the group modulo torsion |
j |
162897471635881221/23464480079872 |
j-invariant |
L |
8.1533200182875 |
L(r)(E,1)/r! |
Ω |
0.43347785089331 |
Real period |
R |
0.62696936736869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26650j1 |
Quadratic twists by: 5 |