Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516n |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
55483132868352 = 28 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13671,500094] |
[a1,a2,a3,a4,a6] |
Generators |
[175:-1862:1] [-105:882:1] |
Generators of the group modulo torsion |
j |
12869712/2527 |
j-invariant |
L |
7.645383803562 |
L(r)(E,1)/r! |
Ω |
0.59598649183031 |
Real period |
R |
0.53450482997269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3724a2 4788f2 |
Quadratic twists by: -3 -7 |