Atkin-Lehner |
3+ 11- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28743d |
Isogeny class |
Conductor |
28743 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1067904 |
Modular degree for the optimal curve |
Δ |
2815981096799596869 = 318 · 11 · 133 · 673 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 11- 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3811270,-2861457636] |
[a1,a2,a3,a4,a6] |
Generators |
[-1131:1038:1] |
Generators of the group modulo torsion |
j |
6122558948210454490034176/2815981096799596869 |
j-invariant |
L |
1.9850709158377 |
L(r)(E,1)/r! |
Ω |
0.10805481009763 |
Real period |
R |
3.0618271629065 |
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 |
86229f1 |
Quadratic twists by: -3 |