Atkin-Lehner |
3+ 11+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28743b |
Isogeny class |
Conductor |
28743 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
86229 = 32 · 11 · 13 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 1 4 11+ 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:0:1] |
Generators of the group modulo torsion |
j |
24288219136/86229 |
j-invariant |
L |
2.8891010150451 |
L(r)(E,1)/r! |
Ω |
1.7133770453207 |
Real period |
R |
0.84310135440864 |
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 |
86229j1 |
Quadratic twists by: -3 |