Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816m |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.1110701366469E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118774911,498235368890] |
[a1,a2,a3,a4,a6] |
j |
992956811872314414589648/1667025750518091 |
j-invariant |
L |
0.58824834742218 |
L(r)(E,1)/r! |
Ω |
0.14706209457982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21204f2 28272e2 |
Quadratic twists by: -4 -3 |