Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37960d |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2668739840000 = 211 · 54 · 134 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4523,-86778] |
[a1,a2,a3,a4,a6] |
Generators |
[-1266:4024:27] |
Generators of the group modulo torsion |
j |
4996587798018/1303095625 |
j-invariant |
L |
3.7637668355585 |
L(r)(E,1)/r! |
Ω |
0.59341940789102 |
Real period |
R |
6.3425071467314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75920c4 |
Quadratic twists by: -4 |