Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cj |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
184369152 = 214 · 3 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1969,32975] |
[a1,a2,a3,a4,a6] |
Generators |
[750:595:27] |
Generators of the group modulo torsion |
j |
51553893328/11253 |
j-invariant |
L |
8.1010873196615 |
L(r)(E,1)/r! |
Ω |
1.7494262690858 |
Real period |
R |
4.6307109150441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472n2 16368e2 |
Quadratic twists by: -4 8 |