Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611b |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
5226097476897 = 39 · 11 · 176 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4389,21824] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:3059:8] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
4.0036058164265 |
L(r)(E,1)/r! |
Ω |
0.66177896933546 |
Real period |
R |
3.0248814195824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28611e1 99c1 |
Quadratic twists by: -3 17 |