Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9594j |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
12607897536 = 26 · 37 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 1 13- -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585,-563] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:47:1] [-19:68:1] |
Generators of the group modulo torsion |
j |
30400540561/17294784 |
j-invariant |
L |
4.0762676146279 |
L(r)(E,1)/r! |
Ω |
1.0490695342255 |
Real period |
R |
0.16190012044175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752cj1 3198e1 124722bo1 |
Quadratic twists by: -4 -3 13 |