Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528x |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-16386304 = -1 · 28 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 2 -1 -4 11- 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,-196] |
[a1,a2,a3,a4,a6] |
j |
176/529 |
j-invariant |
L |
2.0400649361134 |
L(r)(E,1)/r! |
Ω |
1.0200324680646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132d1 44528w1 |
Quadratic twists by: -4 -11 |