Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064v |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-51057612816384 = -1 · 221 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28449,1888161] |
[a1,a2,a3,a4,a6] |
Generators |
[95:184:1] |
Generators of the group modulo torsion |
j |
-9714044119753/194769336 |
j-invariant |
L |
6.6637552020027 |
L(r)(E,1)/r! |
Ω |
0.63298624249724 |
Real period |
R |
1.3159360274312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064dd1 4002g1 |
Quadratic twists by: -4 8 |