Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064be |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-3817331712 = -1 · 210 · 35 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -1 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,2967] |
[a1,a2,a3,a4,a6] |
Generators |
[34:207:1] |
Generators of the group modulo torsion |
j |
-562432/3727863 |
j-invariant |
L |
10.188925263856 |
L(r)(E,1)/r! |
Ω |
1.1188845298229 |
Real period |
R |
0.91063241994925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cu1 16008b1 |
Quadratic twists by: -4 8 |