Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656j |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-302467605221376 = -1 · 212 · 37 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134364,-18975584] |
[a1,a2,a3,a4,a6] |
j |
-89843157911872/101295789 |
j-invariant |
L |
0.99737728136499 |
L(r)(E,1)/r! |
Ω |
0.12467215588804 |
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 |
82656bj1 27552x1 |
Quadratic twists by: -4 -3 |