Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198k |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-373622290496 = -1 · 26 · 72 · 132 · 893 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1653,14129] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:105:1] |
Generators of the group modulo torsion |
j |
499488912166607/373622290496 |
j-invariant |
L |
7.2319746936585 |
L(r)(E,1)/r! |
Ω |
0.60902448508053 |
Real period |
R |
1.4843357842793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129584m1 113386s1 |
Quadratic twists by: -4 -7 |