Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5766d |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-1647323136 = -1 · 211 · 33 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 1 -5 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98,-1996] |
[a1,a2,a3,a4,a6] |
Generators |
[18:37:1] |
Generators of the group modulo torsion |
j |
-3442951/55296 |
j-invariant |
L |
3.2852820559083 |
L(r)(E,1)/r! |
Ω |
0.64294278637732 |
Real period |
R |
0.85162633584119 |
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 |
46128r1 17298s1 5766b1 |
Quadratic twists by: -4 -3 -31 |