Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368cg |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-125926159417344 = -1 · 227 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26508,-1746704] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/658944 |
j-invariant |
L |
0.74567678875625 |
L(r)(E,1)/r! |
Ω |
0.18641921384279 |
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 |
82368ed1 2574e1 27456bb1 |
Quadratic twists by: -4 8 -3 |