Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328v |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.1929751043499E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31606392,-68381404560] |
[a1,a2,a3,a4,a6] |
Generators |
[-37923252182816785190763106:-10786173557606052903245850:11678991743121064226171] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
4.9977989859694 |
L(r)(E,1)/r! |
Ω |
0.063673131669304 |
Real period |
R |
39.245745065016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2166d2 69312do2 51984ct2 912k2 |
Quadratic twists by: -4 8 -3 -19 |