Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368d |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3013538183167868928 = 218 · 39 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1036044,397210608] |
[a1,a2,a3,a4,a6] |
j |
23835655373139/584043889 |
j-invariant |
L |
3.0334506686326 |
L(r)(E,1)/r! |
Ω |
0.25278755969881 |
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 |
82368dg2 1287b2 82368n2 |
Quadratic twists by: -4 8 -3 |