Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566s |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
Δ |
-1.1080072238736E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,159587,-158246575] |
[a1,a2,a3,a4,a6] |
Generators |
[1598:-65437:1] |
Generators of the group modulo torsion |
j |
449485901393767859375/11080072238736418848 |
j-invariant |
L |
8.8232460490741 |
L(r)(E,1)/r! |
Ω |
0.11004259076082 |
Real period |
R |
0.28635815291643 |
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 |
108528m2 40698o2 94962bm2 |
Quadratic twists by: -4 -3 -7 |