Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448d |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
284983789102092288 = 212 · 38 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1961977,-1056798887] |
[a1,a2,a3,a4,a6] |
Generators |
[868550432:64212046353:148877] |
Generators of the group modulo torsion |
j |
42246001231552/14414517 |
j-invariant |
L |
5.1311723350714 |
L(r)(E,1)/r! |
Ω |
0.12756600390735 |
Real period |
R |
10.055916501858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448bd2 16224u1 97344cf2 2496f2 |
Quadratic twists by: -4 8 -3 13 |