Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190u |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.8554679418945E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5414269,-4384324408] |
[a1,a2,a3,a4,a6] |
Generators |
[3973205526:142326864229:1191016] |
Generators of the group modulo torsion |
j |
9908022260084596129/1047363281250000 |
j-invariant |
L |
4.5177216985614 |
L(r)(E,1)/r! |
Ω |
0.099649363848731 |
Real period |
R |
11.334045507366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290w4 |
Quadratic twists by: -11 |