Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550ed |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-48136394880000 = -1 · 210 · 37 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30830,-2102403] |
[a1,a2,a3,a4,a6] |
j |
-7112520550825/105649152 |
j-invariant |
L |
3.5997621234832 |
L(r)(E,1)/r! |
Ω |
0.17998810616924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850k1 53550by1 |
Quadratic twists by: -3 5 |