Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188i |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4514671759104 = 28 · 39 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6399,-168426] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:162:1] |
Generators of the group modulo torsion |
j |
5750806896/895973 |
j-invariant |
L |
2.673730723389 |
L(r)(E,1)/r! |
Ω |
0.53939140069866 |
Real period |
R |
2.4784699199188 |
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 |
76752bl2 19188j1 |
Quadratic twists by: -4 -3 |