Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bu |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
3.36359103345E+23 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30141076588,2014124231133616] |
[a1,a2,a3,a4,a6] |
Generators |
[100230:2624:1] |
Generators of the group modulo torsion |
j |
98191033604529537629349729/10906239337336 |
j-invariant |
L |
2.9485052863455 |
L(r)(E,1)/r! |
Ω |
0.054395488429384 |
Real period |
R |
0.96794569975042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000190357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576dc2 4018s2 18368j2 |
Quadratic twists by: -4 8 -7 |