Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fg |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
309049344000000 = 217 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30828,1903952] |
[a1,a2,a3,a4,a6] |
j |
33909572018/3234375 |
j-invariant |
L |
2.1189799227937 |
L(r)(E,1)/r! |
Ω |
0.52974498182287 |
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 |
66240bn2 16560w2 22080ce2 |
Quadratic twists by: -4 8 -3 |