Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840em |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52162322188861440 = 217 · 316 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133068,-15110512] |
[a1,a2,a3,a4,a6] |
Generators |
[562:9360:1] |
Generators of the group modulo torsion |
j |
2727138195938/545908005 |
j-invariant |
L |
7.3678209874136 |
L(r)(E,1)/r! |
Ω |
0.25346745050406 |
Real period |
R |
3.6335143673957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ca2 30960o2 41280cg2 |
Quadratic twists by: -4 8 -3 |