Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840z |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.6492065528168E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-250720,784503668] |
[a1,a2,a3,a4,a6] |
Generators |
[-844:19890:1] |
Generators of the group modulo torsion |
j |
-425532204913949281/64677894355880100 |
j-invariant |
L |
5.4845362519249 |
L(r)(E,1)/r! |
Ω |
0.14273890607574 |
Real period |
R |
4.802944413255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1230f6 39360br5 29520bh5 49200bt5 |
Quadratic twists by: -4 8 -3 5 |