Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040o |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10581580800 = 210 · 310 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33627,-2373446] |
[a1,a2,a3,a4,a6] |
Generators |
[218:810:1] |
Generators of the group modulo torsion |
j |
5633270409316/14175 |
j-invariant |
L |
3.9181707293796 |
L(r)(E,1)/r! |
Ω |
0.35255557716137 |
Real period |
R |
2.7784064295104 |
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 |
2520t4 20160do3 1680e4 25200bl4 |
Quadratic twists by: -4 8 -3 5 |