Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892b |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.7723317666455E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,259292,799388920] |
[a1,a2,a3,a4,a6] |
Generators |
[-526437906:-2632878331:636056] |
Generators of the group modulo torsion |
j |
64011968750000/9204855938817 |
j-invariant |
L |
4.3461629762284 |
L(r)(E,1)/r! |
Ω |
0.13378205467344 |
Real period |
R |
16.24344521888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556m4 |
Quadratic twists by: -7 |