Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810z |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
-463566736360 = -1 · 23 · 5 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-32784] |
[a1,a2,a3,a4,a6] |
j |
-49/40 |
j-invariant |
L |
0.4219324775512 |
L(r)(E,1)/r! |
Ω |
0.42193248477374 |
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 |
82810n1 490e1 |
Quadratic twists by: -7 13 |