Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22560g |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[3598531355:-26330963568:59776471] |
Generators of the group modulo torsion |
j |
-14526784/55078125 |
j-invariant |
L |
7.050506198622 |
L(r)(E,1)/r! |
Ω |
0.45118736342617 |
Real period |
R |
15.62655954077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22560m2 45120s1 67680ba2 112800bp2 |
Quadratic twists by: -4 8 -3 5 |