Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611o |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-187716771 = -1 · 310 · 11 · 172 |
Discriminant |
Eigenvalues |
0 3- 1 -4 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-102,769] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
-557056/891 |
j-invariant |
L |
4.3126054200763 |
L(r)(E,1)/r! |
Ω |
1.6098598971706 |
Real period |
R |
0.66971750579907 |
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 |
9537a1 28611k1 |
Quadratic twists by: -3 17 |