Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5661g |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-95391142160211 = -1 · 37 · 17 · 376 |
Discriminant |
Eigenvalues |
0 3- -3 2 -3 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4134,480915] |
[a1,a2,a3,a4,a6] |
Generators |
[521:11821:1] |
Generators of the group modulo torsion |
j |
-10717848174592/130852046859 |
j-invariant |
L |
2.6599102987658 |
L(r)(E,1)/r! |
Ω |
0.51009195886786 |
Real period |
R |
1.9554638035288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90576bn2 1887c2 96237g2 |
Quadratic twists by: -4 -3 17 |