Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992ci |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
991824777216 = 212 · 34 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5272,-141100] |
[a1,a2,a3,a4,a6] |
j |
3957057343513/242144721 |
j-invariant |
L |
4.4993420098828 |
L(r)(E,1)/r! |
Ω |
0.56241775262569 |
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 |
5187c2 |
Quadratic twists by: -4 |