Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bl |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20818451976192 = 212 · 34 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9689,-297465] |
[a1,a2,a3,a4,a6] |
j |
5088448/1053 |
j-invariant |
L |
3.9056911118655 |
L(r)(E,1)/r! |
Ω |
0.48821138898262 |
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 |
32448g2 16224o1 97344bv2 2496n2 |
Quadratic twists by: -4 8 -3 13 |