Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810ca |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1222656571799395460 = 22 · 5 · 78 · 139 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1933786,-1034486237] |
[a1,a2,a3,a4,a6] |
Generators |
[-1872072504882:1962756144307:2268747144] |
Generators of the group modulo torsion |
j |
1408317602329/2153060 |
j-invariant |
L |
14.091401178101 |
L(r)(E,1)/r! |
Ω |
0.12803754152884 |
Real period |
R |
13.757099098183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830x1 6370h1 |
Quadratic twists by: -7 13 |