Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bq |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5886449418240 = 217 · 38 · 5 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,-155792] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:144:1] |
Generators of the group modulo torsion |
j |
296071778/61605 |
j-invariant |
L |
5.0621157120932 |
L(r)(E,1)/r! |
Ω |
0.54270380800793 |
Real period |
R |
1.1659480767596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560es2 13320f2 35520bi2 |
Quadratic twists by: -4 8 -3 |