Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778bh |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-7.9244757643682E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21133313,-20880619495] |
[a1,a2,a3,a4,a6] |
Generators |
[492170:-38438485:343] |
Generators of the group modulo torsion |
j |
442682445395406637/336075129851904 |
j-invariant |
L |
15.579832520562 |
L(r)(E,1)/r! |
Ω |
0.050012984547537 |
Real period |
R |
4.3266076745826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74778i2 |
Quadratic twists by: -11 |