Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5600b |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-109760000000 = -1 · 212 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 1 -3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,27563] |
[a1,a2,a3,a4,a6] |
Generators |
[13:100:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
4.4162798201671 |
L(r)(E,1)/r! |
Ω |
1.0024391470077 |
Real period |
R |
0.5506917593639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5600s1 11200f1 50400cy1 1120k1 |
Quadratic twists by: -4 8 -3 5 |