Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008g |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-65270659248 = -1 · 24 · 36 · 174 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-666,-13959] |
[a1,a2,a3,a4,a6] |
j |
-2800908288/5595907 |
j-invariant |
L |
0.88308357119734 |
L(r)(E,1)/r! |
Ω |
0.44154179895828 |
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 |
9112b1 |
Quadratic twists by: -3 |