Atkin-Lehner |
2- 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170br |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-4230942040931696640 = -1 · 224 · 36 · 5 · 112 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,400882,15694877] |
[a1,a2,a3,a4,a6] |
j |
9773426893903753319/5803761373020160 |
j-invariant |
L |
1.2017438744409 |
L(r)(E,1)/r! |
Ω |
0.15021798232366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9130d3 |
Quadratic twists by: -3 |