Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314ba |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6808040554917888 = -1 · 212 · 38 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5967,-3967331] |
[a1,a2,a3,a4,a6] |
Generators |
[155:737:1] [1894:25189:8] |
Generators of the group modulo torsion |
j |
18191447/5271552 |
j-invariant |
L |
5.7745131094889 |
L(r)(E,1)/r! |
Ω |
0.19771933862431 |
Real period |
R |
7.30140150891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438v1 2574t1 |
Quadratic twists by: -3 -11 |