Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cd |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
20920781250000 = 24 · 35 · 510 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27513,-1744983] |
[a1,a2,a3,a4,a6] |
j |
235851422425/2142288 |
j-invariant |
L |
7.4179352250627 |
L(r)(E,1)/r! |
Ω |
0.37089676506533 |
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 |
82650g1 |
Quadratic twists by: 5 |