Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ej |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-131167512000 = -1 · 26 · 39 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,17817] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:135:1] |
Generators of the group modulo torsion |
j |
-83453453/1439424 |
j-invariant |
L |
8.8533009842741 |
L(r)(E,1)/r! |
Ω |
0.87727027981985 |
Real period |
R |
0.42049474318048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850h1 53550ci1 |
Quadratic twists by: -3 5 |