Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gj |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3219896431411200 = -1 · 217 · 312 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24468,-2298544] |
[a1,a2,a3,a4,a6] |
Generators |
[77:205:1] |
Generators of the group modulo torsion |
j |
16954370638/33698025 |
j-invariant |
L |
8.4478987208122 |
L(r)(E,1)/r! |
Ω |
0.23366005972835 |
Real period |
R |
4.5193317988069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840co2 30960d2 41280cd2 |
Quadratic twists by: -4 8 -3 |