Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5408i |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
6 |
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] |
j |
-10816 |
j-invariant |
L |
3.6773504918426 |
L(r)(E,1)/r! |
Ω |
0.61289174864043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5408d1 10816o1 48672p1 5408c1 |
Quadratic twists by: -4 8 -3 13 |