Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285p |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3414528 |
Modular degree for the optimal curve |
Δ |
-3.3328179247122E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1370928,1073872179] |
[a1,a2,a3,a4,a6] |
j |
-2835349504/3316275 |
j-invariant |
L |
1.2402772247528 |
L(r)(E,1)/r! |
Ω |
0.15503483689772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095p1 129285ba1 |
Quadratic twists by: -3 13 |