Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992cd |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
142822767919104 = 216 · 36 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-995904,382869504] |
[a1,a2,a3,a4,a6] |
Generators |
[549:1134:1] |
Generators of the group modulo torsion |
j |
26669607878348076097/34868839824 |
j-invariant |
L |
4.2950264647364 |
L(r)(E,1)/r! |
Ω |
0.49200436774319 |
Real period |
R |
2.1824127730898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996325 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10374k2 |
Quadratic twists by: -4 |