Atkin-Lehner |
2- 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5658g |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-304129832126760648 = -1 · 23 · 32 · 232 · 418 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,144266,-16087060] |
[a1,a2,a3,a4,a6] |
j |
332059183270966325663/304129832126760648 |
j-invariant |
L |
4.0333688445292 |
L(r)(E,1)/r! |
Ω |
0.16805703518872 |
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 |
45264l5 16974h6 |
Quadratic twists by: -4 -3 |