Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570u |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3445200 = 24 · 33 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18374400,-30323374383] |
[a1,a2,a3,a4,a6] |
j |
686061759894693947662233601/3445200 |
j-invariant |
L |
2.3334378666846 |
L(r)(E,1)/r! |
Ω |
0.072919933333893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560cm4 28710l4 47850bg4 105270m4 |
Quadratic twists by: -4 -3 5 -11 |