Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160be |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23410114560000 = 220 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10188,320112] |
[a1,a2,a3,a4,a6] |
j |
611960049/122500 |
j-invariant |
L |
2.5595056587734 |
L(r)(E,1)/r! |
Ω |
0.63987641469336 |
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 |
20160ei2 630e2 2240f2 100800fn2 |
Quadratic twists by: -4 8 -3 5 |