Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ej |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2777664960 = 26 · 311 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714423,-232424152] |
[a1,a2,a3,a4,a6] |
j |
864335783029582144/59535 |
j-invariant |
L |
1.3137135662745 |
L(r)(E,1)/r! |
Ω |
0.16421419578431 |
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 |
20160dw1 10080cd2 6720bu1 100800mh1 |
Quadratic twists by: -4 8 -3 5 |