Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cs |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-45908629200 = -1 · 24 · 39 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5780,-167993] |
[a1,a2,a3,a4,a6] |
Generators |
[103:515:1] |
Generators of the group modulo torsion |
j |
-43391581875/93296 |
j-invariant |
L |
10.006164277564 |
L(r)(E,1)/r! |
Ω |
0.27373953130768 |
Real period |
R |
1.5230665062267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550i1 53550o1 |
Quadratic twists by: -3 5 |