Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998j |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
3320385696 = 25 · 34 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -1 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8381,294609] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:559:1] |
Generators of the group modulo torsion |
j |
65105019418463569/3320385696 |
j-invariant |
L |
6.76646395167 |
L(r)(E,1)/r! |
Ω |
1.3334708295261 |
Real period |
R |
0.084572078141804 |
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 |
63984q1 23994n1 |
Quadratic twists by: -4 -3 |