Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730ci |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-4076021250000 = -1 · 24 · 38 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4622,156269] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-239:1] |
Generators of the group modulo torsion |
j |
-14976071831449/5591250000 |
j-invariant |
L |
11.026412873145 |
L(r)(E,1)/r! |
Ω |
0.7347561458966 |
Real period |
R |
0.2679803782211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910t1 |
Quadratic twists by: -3 |