Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1488656033327E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56528039968,-5173037018309644] |
[a1,a2,a3,a4,a6] |
Generators |
[4554463921905:79811605260154:16581375] [-467464808146504620:-44728122824362:3405466216125] |
Generators of the group modulo torsion |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.0097911470442842 |
Real period |
R |
355.98736155254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t6 6384q6 |
Quadratic twists by: -4 -19 |