Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672z |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.3406080766364E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5976192,768798720] |
[a1,a2,a3,a4,a6] |
Generators |
[34192170:2384861545:5832] |
Generators of the group modulo torsion |
j |
5762851946879949436033/3272968937100635136 |
j-invariant |
L |
6.5683712154412 |
L(r)(E,1)/r! |
Ω |
0.10812244318915 |
Real period |
R |
10.124896343828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834s2 |
Quadratic twists by: -4 |