Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fe |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-22355688960000 = -1 · 212 · 38 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5973,-142054] |
[a1,a2,a3,a4,a6] |
Generators |
[31:270:1] [37:360:1] |
Generators of the group modulo torsion |
j |
5929741/5625 |
j-invariant |
L |
11.020396256292 |
L(r)(E,1)/r! |
Ω |
0.37034568088772 |
Real period |
R |
0.92990792326524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5445j2 29040bv2 87120fb2 |
Quadratic twists by: -4 -3 -11 |