Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cf |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2920695201792 = -1 · 224 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14817,-694143] |
[a1,a2,a3,a4,a6] |
Generators |
[4248:276723:1] |
Generators of the group modulo torsion |
j |
-1372441819897/11141568 |
j-invariant |
L |
6.765542738265 |
L(r)(E,1)/r! |
Ω |
0.21625521396885 |
Real period |
R |
7.821248085265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bq1 32016ba1 |
Quadratic twists by: -4 8 |