Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
2726d |
Isogeny class |
Conductor |
2726 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
184 |
Modular degree for the optimal curve |
Δ |
2726 = 2 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 0 7 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
4826809/2726 |
j-invariant |
L |
3.0746788414821 |
L(r)(E,1)/r! |
Ω |
3.9138919660859 |
Real period |
R |
0.78558091744085 |
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 |
21808h1 87232d1 24534l1 68150t1 |
Quadratic twists by: -4 8 -3 5 |