Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cx |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
40651259904000000 = 222 · 32 · 56 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-816385,283478783] |
[a1,a2,a3,a4,a6] |
j |
229545811016693569/155072250000 |
j-invariant |
L |
4.3097673470043 |
L(r)(E,1)/r! |
Ω |
0.35914727891996 |
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 |
39360p3 9840l3 118080ew3 |
Quadratic twists by: -4 8 -3 |