Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064ce |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1552177178735542272 = -1 · 224 · 314 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-347457,99148257] |
[a1,a2,a3,a4,a6] |
Generators |
[930429:30348800:729] |
Generators of the group modulo torsion |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
8.6176506043734 |
L(r)(E,1)/r! |
Ω |
0.25268664681213 |
Real period |
R |
8.5260248313082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bp1 32016z1 |
Quadratic twists by: -4 8 |