Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550y |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3364156250000 = 24 · 59 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4555,79947] |
[a1,a2,a3,a4,a6] |
j |
5350192749/1722448 |
j-invariant |
L |
2.9321349288815 |
L(r)(E,1)/r! |
Ω |
0.73303373222038 |
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 |
36400ch1 40950cg1 4550l1 31850cl1 |
Quadratic twists by: -4 -3 5 -7 |