Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368eg |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
129492427603968 = 217 · 312 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12684,-50672] |
[a1,a2,a3,a4,a6] |
j |
2361864386/1355211 |
j-invariant |
L |
1.953666242823 |
L(r)(E,1)/r! |
Ω |
0.48841656183353 |
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 |
82368ci2 20592j2 27456cn2 |
Quadratic twists by: -4 8 -3 |