Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bo |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.1311507113122E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5250924,4528619004] |
[a1,a2,a3,a4,a6] |
Generators |
[33023379296429830:327146955588973799:30552747876728] |
Generators of the group modulo torsion |
j |
62544773924625093022672/1613730746606340999 |
j-invariant |
L |
4.6591332521574 |
L(r)(E,1)/r! |
Ω |
0.16765417598543 |
Real period |
R |
27.79014137368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748m2 |
Quadratic twists by: -4 |