Atkin-Lehner |
3+ 7- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42441c |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
43671789 = 32 · 74 · 43 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- -6 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-522,4362] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:47:1] [12:-3:1] |
Generators of the group modulo torsion |
j |
15732118860193/43671789 |
j-invariant |
L |
3.7357324906068 |
L(r)(E,1)/r! |
Ω |
2.0338723999095 |
Real period |
R |
0.22959481693469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323h1 |
Quadratic twists by: -3 |