Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bn |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1635840000 = -1 · 212 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,-2025] |
[a1,a2,a3,a4,a6] |
j |
-31554496/399375 |
j-invariant |
L |
5.1175276299906 |
L(r)(E,1)/r! |
Ω |
0.63969095493588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160n1 34080y1 |
Quadratic twists by: -4 8 |