Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368s |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.9928815540629E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2151660,1622197424] |
[a1,a2,a3,a4,a6] |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
0.61871590465678 |
L(r)(E,1)/r! |
Ω |
0.1546789828355 |
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 |
82368en3 2574x3 27456n3 |
Quadratic twists by: -4 8 -3 |