Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dv |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
37953562500 = 22 · 36 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4055,99947] |
[a1,a2,a3,a4,a6] |
j |
647214625/3332 |
j-invariant |
L |
4.637919125678 |
L(r)(E,1)/r! |
Ω |
1.1594797816823 |
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 |
5950f1 2142e1 |
Quadratic twists by: -3 5 |