Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20086c |
Isogeny class |
Conductor |
20086 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-711513372427264 = -1 · 210 · 114 · 834 |
Discriminant |
Eigenvalues |
2- 0 3 0 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13696,1427363] |
[a1,a2,a3,a4,a6] |
Generators |
[917:27097:1] |
Generators of the group modulo torsion |
j |
-19404590646177/48597320704 |
j-invariant |
L |
9.0345747102816 |
L(r)(E,1)/r! |
Ω |
0.44927315664204 |
Real period |
R |
1.005465670129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20086b1 |
Quadratic twists by: -11 |