Atkin-Lehner |
2+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338b |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2.201617625978E+19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-173111141,876596829545] |
[a1,a2,a3,a4,a6] |
j |
573718392227901342193352375257/22016176259779893044 |
j-invariant |
L |
2.2242383751649 |
L(r)(E,1)/r! |
Ω |
0.15887416965463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704k2 84042bw2 65366f2 |
Quadratic twists by: -4 -3 -7 |