Atkin-Lehner |
3- 11+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28743f |
Isogeny class |
Conductor |
28743 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
416210913261 = 32 · 11 · 137 · 67 |
Discriminant |
Eigenvalues |
2 3- 3 -2 11+ 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1944,-11851] |
[a1,a2,a3,a4,a6] |
Generators |
[378:503:8] |
Generators of the group modulo torsion |
j |
812897667223552/416210913261 |
j-invariant |
L |
14.920399308753 |
L(r)(E,1)/r! |
Ω |
0.75952772083678 |
Real period |
R |
1.4031651229187 |
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 |
86229l1 |
Quadratic twists by: -3 |