Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160k |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10649600 = 215 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13868,628592] |
[a1,a2,a3,a4,a6] |
j |
9001508089608/325 |
j-invariant |
L |
1.6835792698019 |
L(r)(E,1)/r! |
Ω |
1.6835792698019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4160l3 2080e3 37440fg4 20800cx4 |
Quadratic twists by: -4 8 -3 5 |