Atkin-Lehner |
2+ 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986n |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-149900308047776 = -1 · 25 · 118 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 11- 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2664,-592544] |
[a1,a2,a3,a4,a6] |
j |
-1180932193/84614816 |
j-invariant |
L |
1.019755507289 |
L(r)(E,1)/r! |
Ω |
0.25493864780868 |
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 |
11726h1 |
Quadratic twists by: -11 |