Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064co |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-104197079128080384 = -1 · 220 · 311 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-423201,107239617] |
[a1,a2,a3,a4,a6] |
Generators |
[107:7948:1] |
Generators of the group modulo torsion |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
3.7312344851632 |
L(r)(E,1)/r! |
Ω |
0.33652240902184 |
Real period |
R |
5.5438128713971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998924365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064x1 32016bg1 |
Quadratic twists by: -4 8 |