Atkin-Lehner |
2- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128744j |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-408715506096128 = -1 · 211 · 72 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,983116] |
[a1,a2,a3,a4,a6] |
j |
-29282/931 |
j-invariant |
L |
0.8880113142539 |
L(r)(E,1)/r! |
Ω |
0.44400582212305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128744b1 |
Quadratic twists by: -11 |