Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816o |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-1827904 = -1 · 26 · 134 |
Discriminant |
Eigenvalues |
2+ -2 -1 0 -4 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-194] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
-10816 |
j-invariant |
L |
2.4924022188517 |
L(r)(E,1)/r! |
Ω |
0.86675982319385 |
Real period |
R |
2.8755396271918 |
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 |
10816k1 5408i1 97344ba1 10816n1 |
Quadratic twists by: -4 8 -3 13 |