Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368eq |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.0769062386203E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1733196,-850442096] |
[a1,a2,a3,a4,a6] |
Generators |
[17282:-2265120:1] [-736:5148:1] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
10.144591023334 |
L(r)(E,1)/r! |
Ω |
0.13187114358303 |
Real period |
R |
1.2020009111614 |
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 |
82368w6 20592bg5 27456bz6 |
Quadratic twists by: -4 8 -3 |