Atkin-Lehner |
11+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9889a |
Isogeny class |
Conductor |
9889 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
104536619 = 112 · 29 · 313 |
Discriminant |
Eigenvalues |
-1 0 1 -2 11+ 0 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127,-212] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:19:1] |
Generators of the group modulo torsion |
j |
224866629441/104536619 |
j-invariant |
L |
2.3621300845109 |
L(r)(E,1)/r! |
Ω |
1.4881919740143 |
Real period |
R |
0.26454137254654 |
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 |
89001g1 108779c1 |
Quadratic twists by: -3 -11 |