Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976n |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-62042112 = -1 · 212 · 34 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-659] |
[a1,a2,a3,a4,a6] |
j |
-64000000/15147 |
j-invariant |
L |
1.3875757908248 |
L(r)(E,1)/r! |
Ω |
0.6937878954124 |
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 |
561c1 35904cu1 26928bs1 98736ci1 |
Quadratic twists by: -4 8 -3 -11 |