Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dp |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21544302642610176 = 214 · 312 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158844,-23321360] |
[a1,a2,a3,a4,a6] |
Generators |
[2333:110925:1] |
Generators of the group modulo torsion |
j |
37109806448848/1803785841 |
j-invariant |
L |
6.4759874875103 |
L(r)(E,1)/r! |
Ω |
0.23986357733026 |
Real period |
R |
6.7496569919422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368bs2 20592o2 27456cg2 |
Quadratic twists by: -4 8 -3 |