Atkin-Lehner |
2+ 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160h |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
675026560000 = 210 · 54 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2947,-47214] |
[a1,a2,a3,a4,a6] |
j |
2764166269284/659205625 |
j-invariant |
L |
2.636708006156 |
L(r)(E,1)/r! |
Ω |
0.6591769998181 |
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 |
41080h2 |
Quadratic twists by: -4 |