Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310by |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
33177600 |
Modular degree for the optimal curve |
Δ |
1.4362247483863E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9456642608,353961868145231] |
[a1,a2,a3,a4,a6] |
j |
128294226395478051481596987758521/1970129970351562500 |
j-invariant |
L |
2.480056150882 |
L(r)(E,1)/r! |
Ω |
0.077501754734732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770j1 |
Quadratic twists by: -3 |