Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810bn |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-6.9866089817108E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,993548,1213662416] |
[a1,a2,a3,a4,a6] |
j |
86938307/560000 |
j-invariant |
L |
1.8671891434219 |
L(r)(E,1)/r! |
Ω |
0.11669931972604 |
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 |
11830a1 82810ce1 |
Quadratic twists by: -7 13 |