Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270ca |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
23895756864000000 = 212 · 37 · 56 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72032,-216061] |
[a1,a2,a3,a4,a6] |
j |
56697897099098809/32778816000000 |
j-invariant |
L |
3.825569531036 |
L(r)(E,1)/r! |
Ω |
0.31879746091967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6090i3 91350bi3 127890fb3 |
Quadratic twists by: -3 5 -7 |