Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064o |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-854794023318061056 = -1 · 226 · 33 · 23 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 3 5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84865,-45460607] |
[a1,a2,a3,a4,a6] |
j |
-257854523348449/3260780423424 |
j-invariant |
L |
1.9211920717631 |
L(r)(E,1)/r! |
Ω |
0.12007454016955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cy1 4002q1 |
Quadratic twists by: -4 8 |