Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368cw |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4133797233426432 = 218 · 33 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115116,14711504] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:5408:1] |
Generators of the group modulo torsion |
j |
23835655373139/584043889 |
j-invariant |
L |
6.1689722681125 |
L(r)(E,1)/r! |
Ω |
0.43784089691969 |
Real period |
R |
0.587063732622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368n2 20592v2 82368dg2 |
Quadratic twists by: -4 8 -3 |