Atkin-Lehner |
2+ 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170i |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3986473441500000 = 25 · 38 · 56 · 114 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118980,15531376] |
[a1,a2,a3,a4,a6] |
j |
255517194723900481/5468413500000 |
j-invariant |
L |
1.7592005283662 |
L(r)(E,1)/r! |
Ω |
0.43980014024822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390v2 |
Quadratic twists by: -3 |