Atkin-Lehner |
2+ 3+ 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170b |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-1698207390 = -1 · 2 · 33 · 5 · 11 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-510,4986] |
[a1,a2,a3,a4,a6] |
j |
-543937986747/62896570 |
j-invariant |
L |
0.96846817664568 |
L(r)(E,1)/r! |
Ω |
1.452702146188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82170bl2 |
Quadratic twists by: -3 |