Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472l |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
73424029293215744 = 234 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 11+ 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150424,-18333804] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:34:1] |
Generators of the group modulo torsion |
j |
91900537277083417/17925788401664 |
j-invariant |
L |
2.4675491018044 |
L(r)(E,1)/r! |
Ω |
0.24571452427359 |
Real period |
R |
5.0211706228857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434f1 |
Quadratic twists by: -4 |