Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992p |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
61989048576 = 28 · 34 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1652,-23460] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:30:1] |
Generators of the group modulo torsion |
j |
1948842487888/242144721 |
j-invariant |
L |
7.9028804206244 |
L(r)(E,1)/r! |
Ω |
0.7549228512692 |
Real period |
R |
2.6171152472379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003093 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496t2 |
Quadratic twists by: -4 |