Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bb |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-999863985189888 = -1 · 210 · 32 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16016,1311440] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:492:1] [-40:780:1] |
Generators of the group modulo torsion |
j |
443668728799292/976429673037 |
j-invariant |
L |
9.3182862434672 |
L(r)(E,1)/r! |
Ω |
0.34286254160997 |
Real period |
R |
13.588953461803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992k3 124488o3 |
Quadratic twists by: -4 -3 |