Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
3984h |
Isogeny class |
Conductor |
3984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
47616768 = 28 · 33 · 832 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,312] |
[a1,a2,a3,a4,a6] |
j |
680136784/186003 |
j-invariant |
L |
2.8163168187593 |
L(r)(E,1)/r! |
Ω |
1.8775445458396 |
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 |
996a2 15936s2 11952r2 99600bq2 |
Quadratic twists by: -4 8 -3 5 |