Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550er |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-34551025621875000 = -1 · 23 · 38 · 58 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45680,9711947] |
[a1,a2,a3,a4,a6] |
j |
-37017366745/121331448 |
j-invariant |
L |
5.8053432207238 |
L(r)(E,1)/r! |
Ω |
0.32251906785237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17850y2 53550v2 |
Quadratic twists by: -3 5 |