Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cx |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1829138112 = -1 · 26 · 34 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-523,-5221] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1875:8] |
Generators of the group modulo torsion |
j |
-247673152000/28580283 |
j-invariant |
L |
9.1362377332958 |
L(r)(E,1)/r! |
Ω |
0.49586825467682 |
Real period |
R |
4.6061819480304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cm1 64032b1 |
Quadratic twists by: -4 8 |