Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368ee |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3151327718170165248 = 221 · 314 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-434604,69760208] |
[a1,a2,a3,a4,a6] |
j |
47504791830313/16490207448 |
j-invariant |
L |
3.7095436013697 |
L(r)(E,1)/r! |
Ω |
0.23184647547633 |
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 |
82368ch3 20592bn4 27456bw3 |
Quadratic twists by: -4 8 -3 |