Atkin-Lehner |
2+ 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970i |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
476564165677512900 = 22 · 310 · 52 · 134 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-484200,-125237300] |
[a1,a2,a3,a4,a6] |
Generators |
[-379:2120:1] |
Generators of the group modulo torsion |
j |
17221502682601027201/653723135360100 |
j-invariant |
L |
4.220008066256 |
L(r)(E,1)/r! |
Ω |
0.18140828700631 |
Real period |
R |
2.9078109770343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15990q3 |
Quadratic twists by: -3 |