Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bv |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
84330528192 = 26 · 34 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2764,55090] |
[a1,a2,a3,a4,a6] |
j |
36501857904448/1317664503 |
j-invariant |
L |
1.0714193234473 |
L(r)(E,1)/r! |
Ω |
1.0714209442862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064di1 64032bc3 |
Quadratic twists by: -4 8 |