Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368cr |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9045983232 = 214 · 33 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636,-4144] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:24:1] [-16:44:1] |
Generators of the group modulo torsion |
j |
64314864/20449 |
j-invariant |
L |
9.7139848859619 |
L(r)(E,1)/r! |
Ω |
0.97453806933977 |
Real period |
R |
2.4919459772006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368j2 20592y2 82368da2 |
Quadratic twists by: -4 8 -3 |