Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44528l |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-164939415344 = -1 · 24 · 117 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484,-19965] |
[a1,a2,a3,a4,a6] |
Generators |
[1012011:54969090:343] |
Generators of the group modulo torsion |
j |
-442368/5819 |
j-invariant |
L |
7.7510919969498 |
L(r)(E,1)/r! |
Ω |
0.43592956944105 |
Real period |
R |
8.8903030905668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11132f1 4048d1 |
Quadratic twists by: -4 -11 |