Atkin-Lehner |
2+ 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5658c |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
72833657388 = 22 · 3 · 236 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2370,41496] |
[a1,a2,a3,a4,a6] |
Generators |
[17:72:1] |
Generators of the group modulo torsion |
j |
1473177379011625/72833657388 |
j-invariant |
L |
2.8795586088504 |
L(r)(E,1)/r! |
Ω |
1.0788315572616 |
Real period |
R |
0.88971523233268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45264r2 16974j2 |
Quadratic twists by: -4 -3 |