Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dq |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7646398357586706432 = 217 · 322 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2934156,-1929938416] |
[a1,a2,a3,a4,a6] |
Generators |
[-3358560:-7133356:3375] |
Generators of the group modulo torsion |
j |
29237205357427394/80023854339 |
j-invariant |
L |
5.0319021758714 |
L(r)(E,1)/r! |
Ω |
0.11537194116094 |
Real period |
R |
10.903652408415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368bu6 20592n5 27456br6 |
Quadratic twists by: -4 8 -3 |