Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992ch |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3816300144384 = 28 · 33 · 76 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4044,29736] |
[a1,a2,a3,a4,a6] |
j |
28577522506192/14907422439 |
j-invariant |
L |
2.0717978765415 |
L(r)(E,1)/r! |
Ω |
0.69059929034557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748h2 |
Quadratic twists by: -4 |