Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240k |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
149422080 = 219 · 3 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194561,33096705] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/570 |
j-invariant |
L |
2.1220255334211 |
L(r)(E,1)/r! |
Ω |
1.0610127667105 |
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 |
18240cm3 570m4 54720co4 91200ed4 |
Quadratic twists by: -4 8 -3 5 |