Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368bh |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.70391238513E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7641804,8078066800] |
[a1,a2,a3,a4,a6] |
Generators |
[-2200:119340:1] |
Generators of the group modulo torsion |
j |
258252149810350513/1938176193096 |
j-invariant |
L |
9.4477445216219 |
L(r)(E,1)/r! |
Ω |
0.17052600680847 |
Real period |
R |
3.4627212807911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368fc4 2574m3 27456bi4 |
Quadratic twists by: -4 8 -3 |