Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368cq |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1199003959296 = 215 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12204,-516240] |
[a1,a2,a3,a4,a6] |
j |
311665752/1859 |
j-invariant |
L |
1.8175652339674 |
L(r)(E,1)/r! |
Ω |
0.45439131501421 |
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 |
82368db2 41184x2 82368dc2 |
Quadratic twists by: -4 8 -3 |