Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935ci |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
162491298076886625 = 34 · 53 · 77 · 117 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1206675,509722632] |
[a1,a2,a3,a4,a6] |
Generators |
[102:177819:8] |
Generators of the group modulo torsion |
j |
932288503609/779625 |
j-invariant |
L |
5.6772058887372 |
L(r)(E,1)/r! |
Ω |
0.32083150261863 |
Real period |
R |
1.4746073454634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006565 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705b1 8085u1 |
Quadratic twists by: -7 -11 |