Atkin-Lehner |
3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50901k |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-1611933020703 = -1 · 36 · 196 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 4 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2896,85361] |
[a1,a2,a3,a4,a6] |
j |
-57066625/34263 |
j-invariant |
L |
2.3449167707617 |
L(r)(E,1)/r! |
Ω |
0.78163892372939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
141b1 |
Quadratic twists by: -19 |