Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dl |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.3969980461859E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31746783,-81755340518] |
[a1,a2,a3,a4,a6] |
Generators |
[25923874121772637231629265626602354426:-2349516810089340753505883008856700653097:2240803623458321767323679888460584] |
Generators of the group modulo torsion |
j |
-18960744621943664729296/4499420249370871125 |
j-invariant |
L |
6.6038616177127 |
L(r)(E,1)/r! |
Ω |
0.031406804405861 |
Real period |
R |
52.567124722555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420n2 28560dq2 |
Quadratic twists by: -4 -3 |