Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5408d |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-116985856 = -1 · 212 · 134 |
Discriminant |
Eigenvalues |
2+ -2 1 0 -4 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1327] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:52:1] |
Generators of the group modulo torsion |
j |
-10816 |
j-invariant |
L |
2.749107959797 |
L(r)(E,1)/r! |
Ω |
1.8248366792586 |
Real period |
R |
0.12554127861796 |
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 |
5408i1 10816k1 48672bq1 5408j1 |
Quadratic twists by: -4 8 -3 13 |