Atkin-Lehner |
3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
128865h |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-86983875 = -1 · 34 · 53 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- -3 11- 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112,-689] |
[a1,a2,a3,a4,a6] |
Generators |
[22:79:1] |
Generators of the group modulo torsion |
j |
-1302078481/718875 |
j-invariant |
L |
5.1273848125746 |
L(r)(E,1)/r! |
Ω |
0.71457745945379 |
Real period |
R |
1.1959013335444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128865j1 |
Quadratic twists by: -11 |