Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5766i |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
48360 |
Modular degree for the optimal curve |
Δ |
-20960650136150016 = -1 · 213 · 3 · 318 |
Discriminant |
Eigenvalues |
2- 3- -2 1 3 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10551,6954009] |
[a1,a2,a3,a4,a6] |
Generators |
[80:2843:1] |
Generators of the group modulo torsion |
j |
152303/24576 |
j-invariant |
L |
6.2845132541181 |
L(r)(E,1)/r! |
Ω |
0.295372606718 |
Real period |
R |
0.54555284351082 |
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 |
46128q1 17298f1 5766h1 |
Quadratic twists by: -4 -3 -31 |