Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816bf |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-32898294480896 = -1 · 219 · 137 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5183,-233921] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1312:1] [303:5408:1] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
5.8496950580148 |
L(r)(E,1)/r! |
Ω |
0.34117769839441 |
Real period |
R |
1.0715997641305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816i1 2704g1 97344fq1 832g1 |
Quadratic twists by: -4 8 -3 13 |