Atkin-Lehner |
3- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
68085h |
Isogeny class |
Conductor |
68085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2233528425 = 310 · 52 · 17 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -6 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7065,-226800] |
[a1,a2,a3,a4,a6] |
j |
53501660292241/3063825 |
j-invariant |
L |
1.0414780327931 |
L(r)(E,1)/r! |
Ω |
0.52073902304708 |
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 |
22695h1 |
Quadratic twists by: -3 |