Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cz |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-4.1500640741966E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 3 0 2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1773185,-960812673] |
[a1,a2,a3,a4,a6] |
Generators |
[1887:49152:1] |
Generators of the group modulo torsion |
j |
-2352048005459422369/158312380760064 |
j-invariant |
L |
11.805329246154 |
L(r)(E,1)/r! |
Ω |
0.065162450091411 |
Real period |
R |
2.5162176196491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064p1 32016p1 |
Quadratic twists by: -4 8 |