Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19380d |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1779084000000 = 28 · 34 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8916,320616] |
[a1,a2,a3,a4,a6] |
Generators |
[78:306:1] |
Generators of the group modulo torsion |
j |
306226404283984/6949546875 |
j-invariant |
L |
3.9408744677493 |
L(r)(E,1)/r! |
Ω |
0.83597384407444 |
Real period |
R |
0.78568536078872 |
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 |
77520cc2 58140r2 96900bf2 |
Quadratic twists by: -4 -3 5 |