Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cj |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.501131183787E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21999252001,-1255906909259807] |
[a1,a2,a3,a4,a6] |
Generators |
[182032464074405715195823763241593713772336498876564295075:933185164289056076521335394266674329452005199531515276253568:6926231661829041808846094121120342953978380828125] |
Generators of the group modulo torsion |
j |
35933334557161659228101290536008/76328466302092761 |
j-invariant |
L |
8.81060300881 |
L(r)(E,1)/r! |
Ω |
0.012396456935546 |
Real period |
R |
88.841947487695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dx2 64032s2 |
Quadratic twists by: -4 8 |