Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224t |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
867435499008 = 29 · 33 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632792,193538268] |
[a1,a2,a3,a4,a6] |
Generators |
[663490:8136843:1000] |
Generators of the group modulo torsion |
j |
11339065490696/351 |
j-invariant |
L |
6.9393257254283 |
L(r)(E,1)/r! |
Ω |
0.6519174847699 |
Real period |
R |
7.0963231672155 |
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 |
16224c2 32448f4 48672s4 1248e3 |
Quadratic twists by: -4 8 -3 13 |