Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dx |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
576 |
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 |
[10706770:-1334667:125] |
Generators of the group modulo torsion |
j |
35933334557161659228101290536008/76328466302092761 |
j-invariant |
L |
12.020516082489 |
L(r)(E,1)/r! |
Ω |
0.066657146683016 |
Real period |
R |
1.2523159184483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064cj2 64032h2 |
Quadratic twists by: -4 8 |