Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560m |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-225600000000 = -1 · 212 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,22881] |
[a1,a2,a3,a4,a6] |
j |
-14526784/55078125 |
j-invariant |
L |
1.595658574804 |
L(r)(E,1)/r! |
Ω |
0.79782928740198 |
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 |
22560g2 45120bj1 67680q2 112800bd2 |
Quadratic twists by: -4 8 -3 5 |