Atkin-Lehner |
2- 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
127260d |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1496858956588800 = 28 · 39 · 52 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-366687,85445334] |
[a1,a2,a3,a4,a6] |
Generators |
[128932:5550965:64] |
Generators of the group modulo torsion |
j |
1082128896838512/297063725 |
j-invariant |
L |
8.8876175789105 |
L(r)(E,1)/r! |
Ω |
0.46651030065898 |
Real period |
R |
9.5256391304852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127260b2 |
Quadratic twists by: -3 |