Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bi |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1019696040000 = 26 · 36 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2971,38801] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:317:1] |
Generators of the group modulo torsion |
j |
2900285849172529/1019696040000 |
j-invariant |
L |
6.3317226804166 |
L(r)(E,1)/r! |
Ω |
0.80468768949282 |
Real period |
R |
0.43714148448818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880bf2 16830x2 28050j2 61710x2 |
Quadratic twists by: -4 -3 5 -11 |