Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bh |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15485790781440 = 216 · 39 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104268,-12957712] |
[a1,a2,a3,a4,a6] |
j |
2624033547076/324135 |
j-invariant |
L |
2.1254700998601 |
L(r)(E,1)/r! |
Ω |
0.26568376248251 |
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 |
20160eg3 2520h3 6720j3 100800fw4 |
Quadratic twists by: -4 8 -3 5 |