Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240c |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
473579344468377600 = 227 · 3 · 52 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-478561,-122888735] |
[a1,a2,a3,a4,a6] |
Generators |
[62931:2885120:27] |
Generators of the group modulo torsion |
j |
46237740924063961/1806561830400 |
j-invariant |
L |
4.1227051513055 |
L(r)(E,1)/r! |
Ω |
0.18195308176702 |
Real period |
R |
5.6645167964019 |
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 |
18240cn4 570f4 54720bs4 91200cy4 |
Quadratic twists by: -4 8 -3 5 |