Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cl |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2884297681993728 = 216 · 3 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194936,32961492] |
[a1,a2,a3,a4,a6] |
j |
200005594092187129/704174238768 |
j-invariant |
L |
5.4489006431191 |
L(r)(E,1)/r! |
Ω |
0.45407505362168 |
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 |
6006f2 |
Quadratic twists by: -4 |