Atkin-Lehner |
2- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544q |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44690969458229248 = -1 · 214 · 73 · 116 · 672 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87352,-2198800] |
[a1,a2,a3,a4,a6] |
j |
17996056637816375/10910881215388 |
j-invariant |
L |
3.342203672816 |
L(r)(E,1)/r! |
Ω |
0.2088877292908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318e2 |
Quadratic twists by: -4 |