Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472h |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
538497662976 = 214 · 34 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2577,-35055] |
[a1,a2,a3,a4,a6] |
j |
115562131792/32867289 |
j-invariant |
L |
2.7381398251039 |
L(r)(E,1)/r! |
Ω |
0.68453495627597 |
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 |
17472cm2 2184m2 52416co2 122304eg2 |
Quadratic twists by: -4 8 -3 -7 |