Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368en |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
48 |
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 |
2.9276365753925 |
L(r)(E,1)/r! |
Ω |
0.060992430143335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368s3 20592bf3 27456by3 |
Quadratic twists by: -4 8 -3 |