Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16080u |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41370624000000 = 216 · 32 · 56 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9496,173204] |
[a1,a2,a3,a4,a6] |
Generators |
[380:7182:1] |
Generators of the group modulo torsion |
j |
23122331094169/10100250000 |
j-invariant |
L |
5.5454449134227 |
L(r)(E,1)/r! |
Ω |
0.57991975762956 |
Real period |
R |
4.7812174360897 |
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 |
2010a2 64320cc2 48240bt2 80400bz2 |
Quadratic twists by: -4 8 -3 5 |