Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280c |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
338400000000 = 211 · 32 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18256,-942944] |
[a1,a2,a3,a4,a6] |
j |
328574934477218/165234375 |
j-invariant |
L |
1.6429307755183 |
L(r)(E,1)/r! |
Ω |
0.41073269387957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5640g4 45120cz4 33840l4 56400n4 |
Quadratic twists by: -4 8 -3 5 |