Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368fc |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.0812982133219E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-798924,64960400] |
[a1,a2,a3,a4,a6] |
Generators |
[-800:13860:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
6.0621989514711 |
L(r)(E,1)/r! |
Ω |
0.18168834737684 |
Real period |
R |
4.1707400579694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006111 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368bh2 20592bc2 27456bo2 |
Quadratic twists by: -4 8 -3 |