Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160dc |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5300121600 = -1 · 212 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,199,3399] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:45:1] [-5:48:1] |
Generators of the group modulo torsion |
j |
211708736/1293975 |
j-invariant |
L |
10.38121467776 |
L(r)(E,1)/r! |
Ω |
0.9839944634807 |
Real period |
R |
0.87917285641044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160by2 34080l1 |
Quadratic twists by: -4 8 |