Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160m |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1175040000 = 212 · 33 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2481,46719] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:300:1] |
Generators of the group modulo torsion |
j |
412495384384/286875 |
j-invariant |
L |
4.7426905905884 |
L(r)(E,1)/r! |
Ω |
1.5264646784011 |
Real period |
R |
0.51782949382928 |
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 |
8160a2 16320k1 24480r4 40800f4 |
Quadratic twists by: -4 8 -3 5 |