Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544bh |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1993438920704 = 219 · 7 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76704,8201984] |
[a1,a2,a3,a4,a6] |
j |
12184941912052897/486679424 |
j-invariant |
L |
1.5556398717734 |
L(r)(E,1)/r! |
Ω |
0.77781996345676 |
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 |
10318h2 |
Quadratic twists by: -4 |