Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368em |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12532983748826112 = 210 · 312 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276363840,-1768356981128] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
1.7773399134869 |
L(r)(E,1)/r! |
Ω |
0.037027914314264 |
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 |
82368q3 20592be3 27456bx3 |
Quadratic twists by: -4 8 -3 |