Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16055g |
Isogeny class |
Conductor |
16055 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-77494418495 = -1 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 -1 5- 2 3 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,-14760] |
[a1,a2,a3,a4,a6] |
Generators |
[1200:5368:27] |
Generators of the group modulo torsion |
j |
-28561/95 |
j-invariant |
L |
2.8180029022953 |
L(r)(E,1)/r! |
Ω |
0.44475649771365 |
Real period |
R |
6.3360578581354 |
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 |
80275i1 16055a1 |
Quadratic twists by: 5 13 |