Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ci |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1664029163520 = 217 · 310 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-330348,-73081168] |
[a1,a2,a3,a4,a6] |
Generators |
[16946:747549:8] |
Generators of the group modulo torsion |
j |
41725476313778/17415 |
j-invariant |
L |
5.5702793847102 |
L(r)(E,1)/r! |
Ω |
0.1991391481791 |
Real period |
R |
6.9929487139902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ex4 15480o3 41280y4 |
Quadratic twists by: -4 8 -3 |