Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160p |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
270050760000000000 = 212 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161892,1865376] |
[a1,a2,a3,a4,a6] |
j |
5820343774272/3349609375 |
j-invariant |
L |
2.6410794205117 |
L(r)(E,1)/r! |
Ω |
0.26410794205117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160x2 10080c1 20160f2 100800z2 |
Quadratic twists by: -4 8 -3 5 |