Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800x |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1536000000 = 215 · 3 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,69663] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
2.9634844502159 |
L(r)(E,1)/r! |
Ω |
1.481742225108 |
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 |
4800h3 2400u3 14400bq3 192a3 |
Quadratic twists by: -4 8 -3 5 |