Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dw |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-302140882944 = -1 · 224 · 33 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5889,-177921] |
[a1,a2,a3,a4,a6] |
Generators |
[32845:507528:125] |
Generators of the group modulo torsion |
j |
-86175179713/1152576 |
j-invariant |
L |
13.484454526753 |
L(r)(E,1)/r! |
Ω |
0.27227478420341 |
Real period |
R |
8.2541947393836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064m1 32016s1 |
Quadratic twists by: -4 8 |