Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cf |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18590691833118720 = 215 · 39 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80652,5889616] |
[a1,a2,a3,a4,a6] |
j |
2428799546888/778248135 |
j-invariant |
L |
2.8607684683456 |
L(r)(E,1)/r! |
Ω |
0.35759605854319 |
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 |
20160bw3 10080bp3 6720s3 100800cw3 |
Quadratic twists by: -4 8 -3 5 |