Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16820b |
Isogeny class |
Conductor |
16820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2379293284000000 = -1 · 28 · 56 · 296 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30556,-3109800] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
4.1957863769997 |
L(r)(E,1)/r! |
Ω |
0.17482443237499 |
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 |
67280q4 84100e4 20a3 |
Quadratic twists by: -4 5 29 |