Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096n |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-828307662700544 = -1 · 227 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 1 3 1 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3329,-1387777] |
[a1,a2,a3,a4,a6] |
Generators |
[16195:76288:125] |
Generators of the group modulo torsion |
j |
-15568817473/3159742976 |
j-invariant |
L |
8.8206980326714 |
L(r)(E,1)/r! |
Ω |
0.22371769880896 |
Real period |
R |
4.9284757529441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44096d1 11024i1 |
Quadratic twists by: -4 8 |