Atkin-Lehner |
2- 3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bl |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27590414418 = 2 · 32 · 74 · 172 · 472 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27696,1771758] |
[a1,a2,a3,a4,a6] |
j |
2349502133724764929/27590414418 |
j-invariant |
L |
8.6041152939799 |
L(r)(E,1)/r! |
Ω |
1.0755144117487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674ba2 |
Quadratic twists by: -3 |