Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400n |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1789290000000000 = 210 · 34 · 510 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33408,-1186812] |
[a1,a2,a3,a4,a6] |
j |
257731890916/111830625 |
j-invariant |
L |
2.9389639135351 |
L(r)(E,1)/r! |
Ω |
0.36737048963854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28200a2 11280c2 |
Quadratic twists by: -4 5 |