Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960cf |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1707495683784704000 = -1 · 223 · 53 · 11 · 236 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2099905,1172230975] |
[a1,a2,a3,a4,a6] |
Generators |
[783:-2944:1] |
Generators of the group modulo torsion |
j |
-3906456025693367089/6513579116000 |
j-invariant |
L |
9.2517994570326 |
L(r)(E,1)/r! |
Ω |
0.26555670348235 |
Real period |
R |
0.48387863310138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960s2 20240l2 |
Quadratic twists by: -4 8 |