Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16820b |
Isogeny class |
Conductor |
16820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1189646642000 = 24 · 53 · 296 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34761,-2482414] |
[a1,a2,a3,a4,a6] |
j |
488095744/125 |
j-invariant |
L |
4.1957863769997 |
L(r)(E,1)/r! |
Ω |
0.34964886474997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67280q3 84100e3 20a4 |
Quadratic twists by: -4 5 29 |