Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cm |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85170585600 = 220 · 32 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12161,-520065] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8316:1] |
Generators of the group modulo torsion |
j |
758800078561/324900 |
j-invariant |
L |
4.4933584913971 |
L(r)(E,1)/r! |
Ω |
0.45463766956902 |
Real period |
R |
4.9416918044392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240k2 4560u2 54720eq2 91200fm2 |
Quadratic twists by: -4 8 -3 5 |