Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16728i |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1328152882176 = 210 · 33 · 17 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10352,398160] |
[a1,a2,a3,a4,a6] |
Generators |
[88:420:1] |
Generators of the group modulo torsion |
j |
119822533368772/1297024299 |
j-invariant |
L |
6.5568164030467 |
L(r)(E,1)/r! |
Ω |
0.86123680259307 |
Real period |
R |
2.537752057392 |
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 |
33456a3 50184o3 |
Quadratic twists by: -4 -3 |