Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44652d |
Isogeny class |
Conductor |
44652 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-441693649145735424 = -1 · 28 · 32 · 618 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,102948,29305080] |
[a1,a2,a3,a4,a6] |
j |
9148592/33489 |
j-invariant |
L |
1.2674843105699 |
L(r)(E,1)/r! |
Ω |
0.21124738510314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732a2 |
Quadratic twists by: 61 |