Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992v |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26874299418624 = 211 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36864,2725164] |
[a1,a2,a3,a4,a6] |
Generators |
[901:26460:1] |
Generators of the group modulo torsion |
j |
22994537186/111537 |
j-invariant |
L |
3.2527851808857 |
L(r)(E,1)/r! |
Ω |
0.67099676237547 |
Real period |
R |
4.8476913202535 |
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 |
39984r4 59976r4 408b3 |
Quadratic twists by: -4 -3 -7 |