Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224t |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
15246046330564608 = 212 · 33 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62417,-877473] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:2028:1] |
Generators of the group modulo torsion |
j |
1360251712/771147 |
j-invariant |
L |
6.9393257254283 |
L(r)(E,1)/r! |
Ω |
0.32595874238495 |
Real period |
R |
1.7740807918039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16224c3 32448f1 48672s3 1248e2 |
Quadratic twists by: -4 8 -3 13 |