Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bd |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2235216848486400 = 222 · 310 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1969921,1063536479] |
[a1,a2,a3,a4,a6] |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
4.0058676797235 |
L(r)(E,1)/r! |
Ω |
0.40058676797235 |
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 |
18240bz2 570i2 54720bx2 91200m2 |
Quadratic twists by: -4 8 -3 5 |