Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.4427757406732E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40307681,-586226984319] |
[a1,a2,a3,a4,a6] |
Generators |
[1872094643537914876851242337362703839680:-17596618458307803621622467123435651720933:187337501928321788473962931883365253] |
Generators of the group modulo torsion |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
5.4893138913911 |
L(r)(E,1)/r! |
Ω |
0.025023913055145 |
Real period |
R |
54.840682044742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cw5 29040dh5 10560bo6 |
Quadratic twists by: -4 8 -11 |