Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bs |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-571621679935488 = -1 · 212 · 33 · 73 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16107,-844515] |
[a1,a2,a3,a4,a6] |
Generators |
[668:17537:1] |
Generators of the group modulo torsion |
j |
112818618368000/139556074203 |
j-invariant |
L |
4.0669513771393 |
L(r)(E,1)/r! |
Ω |
0.27714904575649 |
Real period |
R |
4.891413050631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l2 |
Quadratic twists by: -4 |