Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cl |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
579561062400 = 219 · 32 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3353921,2363045055] |
[a1,a2,a3,a4,a6] |
Generators |
[1327:15840:1] |
Generators of the group modulo torsion |
j |
15916310615119911121/2210850 |
j-invariant |
L |
5.2630294609705 |
L(r)(E,1)/r! |
Ω |
0.5256496318349 |
Real period |
R |
2.5031071754957 |
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 |
16320b4 4080v4 48960fu4 81600gm4 |
Quadratic twists by: -4 8 -3 5 |