Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cs |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
172832486400 = 210 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12528,539352] |
[a1,a2,a3,a4,a6] |
j |
10788913152/8575 |
j-invariant |
L |
2.0174786105046 |
L(r)(E,1)/r! |
Ω |
1.0087393052523 |
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 |
20160j3 5040z3 20160de1 100800js3 |
Quadratic twists by: -4 8 -3 5 |