Atkin-Lehner |
2- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550u |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-362665952000000000 = -1 · 214 · 59 · 11 · 1013 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11+ -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1532805,-730620803] |
[a1,a2,a3,a4,a6] |
Generators |
[42375:707132:27] |
Generators of the group modulo torsion |
j |
-203917328422252173/185684967424 |
j-invariant |
L |
17.640977947233 |
L(r)(E,1)/r! |
Ω |
0.067838172496288 |
Real period |
R |
9.287321628865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550i1 |
Quadratic twists by: 5 |