Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280a |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-24093229600000000 = -1 · 211 · 58 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62557,-4416258] |
[a1,a2,a3,a4,a6] |
j |
7462174302/6640625 |
j-invariant |
L |
0.83254542152228 |
L(r)(E,1)/r! |
Ω |
0.20813636979954 |
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 |
680a4 |
Quadratic twists by: -11 |