Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586n |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-993843639484416 = -1 · 219 · 37 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -5 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24389923,46360136414] |
[a1,a2,a3,a4,a6] |
Generators |
[2854:-1171:1] |
Generators of the group modulo torsion |
j |
-668286694038078762077641/413929046016 |
j-invariant |
L |
3.4956825646681 |
L(r)(E,1)/r! |
Ω |
0.30393352257746 |
Real period |
R |
0.82153363552837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688bl1 16758w1 5586b1 106134bn1 |
Quadratic twists by: -4 -3 -7 -19 |