Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400n |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5287500000000000 = 211 · 32 · 514 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456408,-118780812] |
[a1,a2,a3,a4,a6] |
j |
328574934477218/165234375 |
j-invariant |
L |
2.9389639135351 |
L(r)(E,1)/r! |
Ω |
0.18368524481927 |
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 |
28200a4 11280c3 |
Quadratic twists by: -4 5 |