Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bq |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2250006257667168 = 25 · 38 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-830412,291463920] |
[a1,a2,a3,a4,a6] |
Generators |
[597:-3165:1] |
Generators of the group modulo torsion |
j |
738395577816625/26234208 |
j-invariant |
L |
3.8642380771683 |
L(r)(E,1)/r! |
Ω |
0.43175236918224 |
Real period |
R |
1.1187657620586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999820244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dj2 18018m2 |
Quadratic twists by: -3 -7 |