Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cz |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4684554000 = 24 · 39 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-515,3187] |
[a1,a2,a3,a4,a6] |
j |
6128487/1904 |
j-invariant |
L |
5.084144920877 |
L(r)(E,1)/r! |
Ω |
1.2710362304039 |
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 |
53550l1 53550q1 |
Quadratic twists by: -3 5 |