Atkin-Lehner |
2+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82646b |
Isogeny class |
Conductor |
82646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
2366084813546 = 2 · 317 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -1 0 5 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3383,-17581] |
[a1,a2,a3,a4,a6] |
Generators |
[85349:203822:1331] |
Generators of the group modulo torsion |
j |
4826809/2666 |
j-invariant |
L |
7.8739231114002 |
L(r)(E,1)/r! |
Ω |
0.67013360504247 |
Real period |
R |
5.8748905077122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666a1 |
Quadratic twists by: -31 |