Atkin-Lehner |
3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4005c |
Isogeny class |
Conductor |
4005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11693178225 = 310 · 52 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1350,18711] |
[a1,a2,a3,a4,a6] |
j |
373403541601/16040025 |
j-invariant |
L |
1.259639989421 |
L(r)(E,1)/r! |
Ω |
1.259639989421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64080q2 1335b2 20025j2 |
Quadratic twists by: -4 -3 5 |