Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fd |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4191750000000000 = -1 · 210 · 36 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14892,-3035432] |
[a1,a2,a3,a4,a6] |
j |
489277573376/5615234375 |
j-invariant |
L |
3.8799490832878 |
L(r)(E,1)/r! |
Ω |
0.215552726524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240bo2 16560cg2 7360w2 |
Quadratic twists by: -4 8 -3 |