Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cz |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
56441945918472192 = 216 · 320 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99809,4047135] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2268:1] |
Generators of the group modulo torsion |
j |
1677865892403172/861235747047 |
j-invariant |
L |
4.9971681324235 |
L(r)(E,1)/r! |
Ω |
0.31115085607919 |
Real period |
R |
1.6060274412806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424o4 11856f3 |
Quadratic twists by: -4 8 |