Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ef |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
81663349824000000 = 212 · 312 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155748,-19252928] |
[a1,a2,a3,a4,a6] |
j |
139927692143296/27348890625 |
j-invariant |
L |
1.9487607427348 |
L(r)(E,1)/r! |
Ω |
0.24359509284185 |
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 |
20160dx2 10080ce1 6720cm2 100800lt2 |
Quadratic twists by: -4 8 -3 5 |