Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bo |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12386304 |
Modular degree for the optimal curve |
Δ |
-3.7714042063798E+21 |
Discriminant |
Eigenvalues |
2 3- 3 7- -3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5395341,5656657473] |
[a1,a2,a3,a4,a6] |
Generators |
[-962710:99792067:1000] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
17.751186775305 |
L(r)(E,1)/r! |
Ω |
0.13368684090689 |
Real period |
R |
4.1494330220612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483z1 18207b1 7497i1 |
Quadratic twists by: -3 -7 17 |