Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368cp |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2455560108638208 = 226 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76140,7727184] |
[a1,a2,a3,a4,a6] |
j |
9460870875/475904 |
j-invariant |
L |
1.8094809130664 |
L(r)(E,1)/r! |
Ω |
0.45237022791952 |
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 |
82368i1 20592x1 82368cz1 |
Quadratic twists by: -4 8 -3 |