Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bx |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1960221078579456 = 28 · 36 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33759,-1078110] |
[a1,a2,a3,a4,a6] |
j |
12869712/5929 |
j-invariant |
L |
2.9444606639605 |
L(r)(E,1)/r! |
Ω |
0.36805758339383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121968cb2 6776a2 5544j2 |
Quadratic twists by: -4 -3 -11 |