Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dn |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40718204928 = 215 · 34 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100193,-12240321] |
[a1,a2,a3,a4,a6] |
Generators |
[493:7644:1] |
Generators of the group modulo torsion |
j |
3394612869389000/1242621 |
j-invariant |
L |
10.732015548956 |
L(r)(E,1)/r! |
Ω |
0.26834274488283 |
Real period |
R |
4.9992107986317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bz2 64032d2 |
Quadratic twists by: -4 8 |