Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776z |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-51493421056 = -1 · 214 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 11- 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33745,-2374767] |
[a1,a2,a3,a4,a6] |
j |
-259385049258064/3142909 |
j-invariant |
L |
3.1702120616659 |
L(r)(E,1)/r! |
Ω |
0.17612289385017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776n1 20944f1 |
Quadratic twists by: -4 8 |