Atkin-Lehner |
2- 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170by |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.2567925071716E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10508207,-11947687711] |
[a1,a2,a3,a4,a6] |
j |
176028100677710031325609/17239952087402343750 |
j-invariant |
L |
3.3752368705924 |
L(r)(E,1)/r! |
Ω |
0.084380923161983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390g3 |
Quadratic twists by: -3 |