Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608b |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
260816720887808 = 229 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-699980,225410416] |
[a1,a2,a3,a4,a6] |
Generators |
[909:18445:1] |
Generators of the group modulo torsion |
j |
144690722229371625/994936832 |
j-invariant |
L |
4.9751316833548 |
L(r)(E,1)/r! |
Ω |
0.49373617314382 |
Real period |
R |
5.0382491237031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608y2 1394a2 |
Quadratic twists by: -4 8 |