Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bs |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1201781120144596992 = 213 · 34 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4343100704,110167544581248] |
[a1,a2,a3,a4,a6] |
j |
2211889682389423686563629156897/293403593785302 |
j-invariant |
L |
0.86566923652949 |
L(r)(E,1)/r! |
Ω |
0.1082086545602 |
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 |
6006bd5 |
Quadratic twists by: -4 |