Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16008j |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-13830912 = -1 · 28 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14753,684819] |
[a1,a2,a3,a4,a6] |
Generators |
[70:3:1] |
Generators of the group modulo torsion |
j |
-1387248332416000/54027 |
j-invariant |
L |
6.3720341408439 |
L(r)(E,1)/r! |
Ω |
1.652511590667 |
Real period |
R |
0.48199617606554 |
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 |
32016b1 128064h1 48024f1 |
Quadratic twists by: -4 8 -3 |