Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160b |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11795053936640 = 230 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13281,-561055] |
[a1,a2,a3,a4,a6] |
Generators |
[-351152:658329:4913] |
Generators of the group modulo torsion |
j |
988345570681/44994560 |
j-invariant |
L |
4.4005376534564 |
L(r)(E,1)/r! |
Ω |
0.44597566450249 |
Real period |
R |
9.8672147467182 |
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 |
4160n3 130a3 37440cl3 20800be3 |
Quadratic twists by: -4 8 -3 5 |