Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160k |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
432640000 = 212 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-868,9792] |
[a1,a2,a3,a4,a6] |
j |
17657244864/105625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
4160l2 2080e1 37440fg2 20800cx2 |
Quadratic twists by: -4 8 -3 5 |