Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dr |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.5320292629331E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10677704,13293408372] |
[a1,a2,a3,a4,a6] |
Generators |
[60666:4856067:8] |
Generators of the group modulo torsion |
j |
814544990575471/9268826496 |
j-invariant |
L |
5.9264729228138 |
L(r)(E,1)/r! |
Ω |
0.15130662034947 |
Real period |
R |
6.5281048830167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998i2 119952fc2 39984bu2 |
Quadratic twists by: -4 -3 -7 |