Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800cd |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-881596846080000000 = -1 · 218 · 316 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176033,53316063] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:7776:1] |
Generators of the group modulo torsion |
j |
-147281603041/215233605 |
j-invariant |
L |
4.3388371373063 |
L(r)(E,1)/r! |
Ω |
0.25238805596324 |
Real period |
R |
0.53722296811292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4800b8 1200j8 14400dp8 960i8 |
Quadratic twists by: -4 8 -3 5 |