Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bh |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-888649620848640 = -1 · 216 · 318 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18132,-1083472] |
[a1,a2,a3,a4,a6] |
j |
13799183324/18600435 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160eg4 2520h4 6720j4 100800fw3 |
Quadratic twists by: -4 8 -3 5 |