Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gb |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-3.3784128E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5723935,7102677663] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:72000:1] |
Generators of the group modulo torsion |
j |
79116632600119361351/128876220703125000 |
j-invariant |
L |
9.2172850775434 |
L(r)(E,1)/r! |
Ω |
0.079506176828544 |
Real period |
R |
0.48304869032744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bk2 31920t2 |
Quadratic twists by: -4 8 |