Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320by |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-82104483840 = -1 · 216 · 3 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,895,8865] |
[a1,a2,a3,a4,a6] |
Generators |
[27:228:1] |
Generators of the group modulo torsion |
j |
1208446844/1252815 |
j-invariant |
L |
4.6462635687153 |
L(r)(E,1)/r! |
Ω |
0.7148493276742 |
Real period |
R |
3.2498201990566 |
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 |
16320bf4 4080k4 48960ep3 81600ik3 |
Quadratic twists by: -4 8 -3 5 |