Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424cf |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0223233001493E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175372923,893906135210] |
[a1,a2,a3,a4,a6] |
j |
112763292123580561/1932612 |
j-invariant |
L |
2.618906714099 |
L(r)(E,1)/r! |
Ω |
0.16368166963119 |
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 |
2178m3 69696hc3 5808v3 1584s3 |
Quadratic twists by: -4 8 -3 -11 |