Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160eu |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32920473600 = 212 · 38 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2532,-48256] |
[a1,a2,a3,a4,a6] |
j |
601211584/11025 |
j-invariant |
L |
2.6951138201354 |
L(r)(E,1)/r! |
Ω |
0.67377845503385 |
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 |
20160fj2 10080m1 6720bj2 100800nt2 |
Quadratic twists by: -4 8 -3 5 |