Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608u |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.0874680279756E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1451765264,21290340754452] |
[a1,a2,a3,a4,a6] |
Generators |
[22114:29664:1] |
Generators of the group modulo torsion |
j |
82613870070426917426690042257/50963574901747509792 |
j-invariant |
L |
4.6368609132004 |
L(r)(E,1)/r! |
Ω |
0.082548874137187 |
Real period |
R |
1.1702312119297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326j2 103824bo2 |
Quadratic twists by: -4 -3 |