Atkin-Lehner |
5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355i |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-14211358601195 = -1 · 5 · 78 · 793 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16235,-822041] |
[a1,a2,a3,a4,a6] |
Generators |
[10281:187730:27] |
Generators of the group modulo torsion |
j |
-82096193536/2465195 |
j-invariant |
L |
5.338877398225 |
L(r)(E,1)/r! |
Ω |
0.21109903859177 |
Real period |
R |
2.8100961698359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775a2 19355f2 |
Quadratic twists by: 5 -7 |