Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cn |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
-3857206500000 = -1 · 25 · 33 · 56 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3895,-14103] |
[a1,a2,a3,a4,a6] |
j |
15494117157/9143008 |
j-invariant |
L |
4.6011492717994 |
L(r)(E,1)/r! |
Ω |
0.46011492705909 |
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 |
53550c1 2142c1 |
Quadratic twists by: -3 5 |