Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368w |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.6587550328374E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,772404,-250439056] |
[a1,a2,a3,a4,a6] |
j |
266679605718863/296110251723 |
j-invariant |
L |
0.85652349554603 |
L(r)(E,1)/r! |
Ω |
0.10706543493251 |
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 |
82368eq5 1287e6 27456p5 |
Quadratic twists by: -4 8 -3 |