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 |
26454814115400 = 23 · 312 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19971,-1059399] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:207:1] |
Generators of the group modulo torsion |
j |
880895732965860529/26454814115400 |
j-invariant |
L |
6.3317226804166 |
L(r)(E,1)/r! |
Ω |
0.40234384474641 |
Real period |
R |
0.21857074224409 |
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 |
44880bf4 16830x3 28050j4 61710x4 |
Quadratic twists by: -4 -3 5 -11 |