Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bb |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2049600 |
Modular degree for the optimal curve |
Δ |
-2.5826640301375E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 1 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4170638,-3368618108] |
[a1,a2,a3,a4,a6] |
j |
-821544633309315625/26446479668608 |
j-invariant |
L |
2.9524647564873 |
L(r)(E,1)/r! |
Ω |
0.052722584950766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150r1 |
Quadratic twists by: 5 |