Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cp |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-39634271232 = -1 · 210 · 3 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 -3 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,663,6753] |
[a1,a2,a3,a4,a6] |
Generators |
[3320:25737:125] |
Generators of the group modulo torsion |
j |
31427449088/38705343 |
j-invariant |
L |
8.4942210230071 |
L(r)(E,1)/r! |
Ω |
0.77000830948505 |
Real period |
R |
5.5156683698708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064z1 32016bh1 |
Quadratic twists by: -4 8 |