Atkin-Lehner |
2- 3- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008q |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-280322083812096 = -1 · 28 · 315 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3- -3 2 1 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11604,-938284] |
[a1,a2,a3,a4,a6] |
j |
-925932608512/1502068779 |
j-invariant |
L |
1.7420096334652 |
L(r)(E,1)/r! |
Ω |
0.21775119939022 |
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 |
27336a1 |
Quadratic twists by: -3 |