Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bz |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-4730272820 = -1 · 22 · 5 · 72 · 136 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,419,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3598:1] |
Generators of the group modulo torsion |
j |
34391/20 |
j-invariant |
L |
8.4642179882945 |
L(r)(E,1)/r! |
Ω |
0.8117688779094 |
Real period |
R |
2.6067204025051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810cg1 490d1 |
Quadratic twists by: -7 13 |