Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470ba |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
370008230460 = 22 · 3 · 5 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1956,-16044] |
[a1,a2,a3,a4,a6] |
Generators |
[454:1675:8] |
Generators of the group modulo torsion |
j |
827645085154369/370008230460 |
j-invariant |
L |
8.6183808844662 |
L(r)(E,1)/r! |
Ω |
0.74842412467399 |
Real period |
R |
5.7576851148541 |
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 |
58410q2 97350a2 |
Quadratic twists by: -3 5 |