Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550u |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-342593888000000 = -1 · 211 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-115213,15030531] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1332:1] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
4.6055782031353 |
L(r)(E,1)/r! |
Ω |
0.54067034057163 |
Real period |
R |
0.055313468715137 |
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 |
36400bf1 40950bk1 182c1 31850bw1 |
Quadratic twists by: -4 -3 5 -7 |