Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160z |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
299768386682880 = 218 · 32 · 5 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22081,-956641] |
[a1,a2,a3,a4,a6] |
j |
4542131166481/1143525645 |
j-invariant |
L |
3.1911276431477 |
L(r)(E,1)/r! |
Ω |
0.39889095411447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160cf3 1065b3 |
Quadratic twists by: -4 8 |