Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bf |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-4344384000 = -1 · 29 · 3 · 53 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11764986,-15533261340] |
[a1,a2,a3,a4,a6] |
j |
-180093466903641160790448289/4344384000 |
j-invariant |
L |
3.3014652014373 |
L(r)(E,1)/r! |
Ω |
0.040758829647374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880bl2 16830bc2 28050a2 61710y2 |
Quadratic twists by: -4 -3 5 -11 |