Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bh |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
53934336000000 = 214 · 36 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18385,-898225] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:240:1] |
Generators of the group modulo torsion |
j |
41948679809104/3291890625 |
j-invariant |
L |
6.3800278561828 |
L(r)(E,1)/r! |
Ω |
0.41203721161313 |
Real period |
R |
0.86022811052064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320bz2 2040j2 48960bz2 81600v2 |
Quadratic twists by: -4 8 -3 5 |