Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280a |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
327667922560000 = 210 · 54 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19723,-614922] |
[a1,a2,a3,a4,a6] |
j |
467720676/180625 |
j-invariant |
L |
0.83254542152228 |
L(r)(E,1)/r! |
Ω |
0.41627273959908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
680a2 |
Quadratic twists by: -11 |