Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270n |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-171768733502045400 = -1 · 23 · 311 · 52 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28035,-19865219] |
[a1,a2,a3,a4,a6] |
Generators |
[1143:38216:1] |
Generators of the group modulo torsion |
j |
3342636501165359/235622405352600 |
j-invariant |
L |
2.8787448250022 |
L(r)(E,1)/r! |
Ω |
0.15326588038934 |
Real period |
R |
4.695671368098 |
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 |
6090u2 91350eu2 127890cu2 |
Quadratic twists by: -3 5 -7 |