Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240d |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71862681600 = 215 · 35 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10241,-395295] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:8:1] |
Generators of the group modulo torsion |
j |
3625294417928/2193075 |
j-invariant |
L |
2.6885276559501 |
L(r)(E,1)/r! |
Ω |
0.47459832216923 |
Real period |
R |
1.4162121579264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bi2 9120k2 54720bw2 91200cv2 |
Quadratic twists by: -4 8 -3 5 |