Atkin-Lehner |
3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50901b |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-179103668967 = -1 · 34 · 196 · 47 |
Discriminant |
Eigenvalues |
1 3+ 2 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-729,-22032] |
[a1,a2,a3,a4,a6] |
j |
-912673/3807 |
j-invariant |
L |
3.7647642980822 |
L(r)(E,1)/r! |
Ω |
0.4183071442344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
141c1 |
Quadratic twists by: -19 |