Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368eq |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.6587550328374E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,772404,250439056] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:13244:1] [-67:14085:1] |
Generators of the group modulo torsion |
j |
266679605718863/296110251723 |
j-invariant |
L |
10.144591023334 |
L(r)(E,1)/r! |
Ω |
0.13187114358303 |
Real period |
R |
19.232014578582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368w5 20592bg6 27456bz5 |
Quadratic twists by: -4 8 -3 |