Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470l |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.332029629656E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20844234,-66523144004] |
[a1,a2,a3,a4,a6] |
Generators |
[2182475213006:-373463785998819:73034632] |
Generators of the group modulo torsion |
j |
-1001570448386200281227618329/1332029629656000000000000 |
j-invariant |
L |
3.4162120585865 |
L(r)(E,1)/r! |
Ω |
0.033669854982106 |
Real period |
R |
16.910339433707 |
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 |
58410bp4 97350br4 |
Quadratic twists by: -3 5 |