Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064dh |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-323105472 = -1 · 26 · 32 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 -3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67,-913] |
[a1,a2,a3,a4,a6] |
Generators |
[14:33:1] [142:1695:1] |
Generators of the group modulo torsion |
j |
-527514112/5048523 |
j-invariant |
L |
14.536108409145 |
L(r)(E,1)/r! |
Ω |
0.72696997140421 |
Real period |
R |
9.9977364888533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064bu1 64032l1 |
Quadratic twists by: -4 8 |