Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ei |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4656997800 = -1 · 23 · 39 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383,-4273] |
[a1,a2,a3,a4,a6] |
Generators |
[33:118:1] |
Generators of the group modulo torsion |
j |
-50308609/37800 |
j-invariant |
L |
7.7911013159203 |
L(r)(E,1)/r! |
Ω |
0.52264177875408 |
Real period |
R |
0.62113140603583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490bq1 106470cy1 |
Quadratic twists by: -3 13 |