Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555u |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1438214227202025 = 310 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52848,-4309847] |
[a1,a2,a3,a4,a6] |
j |
138742439989609/12224619225 |
j-invariant |
L |
3.1664988513395 |
L(r)(E,1)/r! |
Ω |
0.31664988513395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28665x2 47775q2 1365a2 124215cd2 |
Quadratic twists by: -3 5 -7 13 |