Atkin-Lehner |
3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
128865j |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-154097240578875 = -1 · 34 · 53 · 118 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 11- -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13615,849080] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-570:1] |
Generators of the group modulo torsion |
j |
-1302078481/718875 |
j-invariant |
L |
4.7966573174235 |
L(r)(E,1)/r! |
Ω |
0.53600985281809 |
Real period |
R |
0.4971568264342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000017692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128865h1 |
Quadratic twists by: -11 |