Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024o |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4242949300813824 = 221 · 316 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137089,19238111] |
[a1,a2,a3,a4,a6] |
j |
1086913000972513/16185567096 |
j-invariant |
L |
1.755424765413 |
L(r)(E,1)/r! |
Ω |
0.43885619135325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9024bm3 282a4 27072bc3 |
Quadratic twists by: -4 8 -3 |