Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368dd |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
4275640512 = 26 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555,-3928] |
[a1,a2,a3,a4,a6] |
j |
10941048000/2474329 |
j-invariant |
L |
3.9982449008357 |
L(r)(E,1)/r! |
Ω |
0.99956123576049 |
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 |
82368cu1 41184a2 82368ct1 |
Quadratic twists by: -4 8 -3 |