Atkin-Lehner |
2- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28768g |
Isogeny class |
Conductor |
28768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
3096817664 = 212 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 2 1 -2 0 6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4145,-101311] |
[a1,a2,a3,a4,a6] |
Generators |
[-1005:116:27] |
Generators of the group modulo torsion |
j |
1923278337856/756059 |
j-invariant |
L |
8.2416226233109 |
L(r)(E,1)/r! |
Ω |
0.5950040695123 |
Real period |
R |
1.1542809880928 |
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 |
28768d1 57536c1 |
Quadratic twists by: -4 8 |