Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160f |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
406353575936000000 = 221 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250376,-37127440] |
[a1,a2,a3,a4,a6] |
Generators |
[724:12672:1] |
Generators of the group modulo torsion |
j |
423783056881319689/99207416000000 |
j-invariant |
L |
5.108574711313 |
L(r)(E,1)/r! |
Ω |
0.21703628753427 |
Real period |
R |
1.9614902379348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
770b4 24640bs4 55440dw4 30800by4 |
Quadratic twists by: -4 8 -3 5 |