Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330w |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
7741184256000000 = 214 · 34 · 56 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73061,-6319359] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:847:1] |
Generators of the group modulo torsion |
j |
43130145198599003089/7741184256000000 |
j-invariant |
L |
8.3230375865855 |
L(r)(E,1)/r! |
Ω |
0.29396860039165 |
Real period |
R |
1.0111669817186 |
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 |
54990k2 91650q2 |
Quadratic twists by: -3 5 |