Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576dj |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9326592 = 212 · 32 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1353,18711] |
[a1,a2,a3,a4,a6] |
j |
66923416000/2277 |
j-invariant |
L |
2.1542755074562 |
L(r)(E,1)/r! |
Ω |
2.1542755075617 |
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 |
48576cc2 24288a1 |
Quadratic twists by: -4 8 |