Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992bs |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-360831965158060032 = -1 · 212 · 3 · 7 · 13 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158613,37821021] |
[a1,a2,a3,a4,a6] |
Generators |
[105504556:2494820365:148877] |
Generators of the group modulo torsion |
j |
-107741456072704000/88093741493667 |
j-invariant |
L |
4.0669513771393 |
L(r)(E,1)/r! |
Ω |
0.27714904575649 |
Real period |
R |
14.674239151893 |
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 |
5187l3 |
Quadratic twists by: -4 |