Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ev |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1896219279360000 = 220 · 310 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604812,-181029616] |
[a1,a2,a3,a4,a6] |
j |
128031684631201/9922500 |
j-invariant |
L |
1.3695770231472 |
L(r)(E,1)/r! |
Ω |
0.1711971278934 |
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 |
20160cm4 5040bg3 6720bg4 100800nx4 |
Quadratic twists by: -4 8 -3 5 |