Atkin-Lehner |
2- 3- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934bk |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-107303594558004 = -1 · 22 · 317 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4522,-485575] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1429:1] |
Generators of the group modulo torsion |
j |
14030653277159/147192859476 |
j-invariant |
L |
8.8679044828971 |
L(r)(E,1)/r! |
Ω |
0.29317541903411 |
Real period |
R |
3.7809720112102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978d1 |
Quadratic twists by: -3 |