Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cj |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
22693478400 = 216 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,19295] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:144:1] |
Generators of the group modulo torsion |
j |
5052857764/346275 |
j-invariant |
L |
6.2195222896522 |
L(r)(E,1)/r! |
Ω |
1.1808961261617 |
Real period |
R |
0.43889848789861 |
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 |
18240g2 4560e2 54720ek2 91200fh2 |
Quadratic twists by: -4 8 -3 5 |