Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800r |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
720000000 = 210 · 32 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,22563] |
[a1,a2,a3,a4,a6] |
j |
24918016/45 |
j-invariant |
L |
3.211594715932 |
L(r)(E,1)/r! |
Ω |
1.605797357966 |
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 |
4800bi1 600a1 14400z1 960b1 |
Quadratic twists by: -4 8 -3 5 |