Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224c |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
8 |
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 |
[11176:1181141:1] |
Generators of the group modulo torsion |
j |
1360251712/771147 |
j-invariant |
L |
4.5812702109106 |
L(r)(E,1)/r! |
Ω |
0.33854332004644 |
Real period |
R |
6.7661506513879 |
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 |
16224t2 32448bi1 48672bu3 1248h3 |
Quadratic twists by: -4 8 -3 13 |