Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608d |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.1386627415686E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1820808,931033440] |
[a1,a2,a3,a4,a6] |
Generators |
[-684:43092:1] |
Generators of the group modulo torsion |
j |
651953246915592062500/11119753335631203 |
j-invariant |
L |
6.2975327495092 |
L(r)(E,1)/r! |
Ω |
0.22706914719798 |
Real period |
R |
1.5407770489544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216a2 58824i2 |
Quadratic twists by: -4 -3 |