Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bs |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
802791751680 = 217 · 35 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207265,-36388417] |
[a1,a2,a3,a4,a6] |
j |
7512661019967698/6124815 |
j-invariant |
L |
4.4750501241801 |
L(r)(E,1)/r! |
Ω |
0.22375250629151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160cp2 8520e2 |
Quadratic twists by: -4 8 |