Atkin-Lehner |
2- 3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718k |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
2416944096 = 25 · 36 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48992,4169760] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-20:1] |
Generators of the group modulo torsion |
j |
13004683085285402113/2416944096 |
j-invariant |
L |
12.029579683427 |
L(r)(E,1)/r! |
Ω |
1.1443373300756 |
Real period |
R |
0.70081780766708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154n2 |
Quadratic twists by: -3 |