Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752z |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-1597629744 = -1 · 24 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318,2909] |
[a1,a2,a3,a4,a6] |
Generators |
[22:81:1] [10:27:1] |
Generators of the group modulo torsion |
j |
-304900096/136971 |
j-invariant |
L |
11.257371074375 |
L(r)(E,1)/r! |
Ω |
1.4043066554573 |
Real period |
R |
1.0020399592541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584a1 |
Quadratic twists by: -3 |