Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470bb |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3827883427920750 = -1 · 2 · 3 · 53 · 112 · 596 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43066,-4552654] |
[a1,a2,a3,a4,a6] |
j |
-8833401092034587809/3827883427920750 |
j-invariant |
L |
5.8421991023046 |
L(r)(E,1)/r! |
Ω |
0.16228330839735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410o4 97350h4 |
Quadratic twists by: -3 5 |