Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050z |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-191369304000 = -1 · 26 · 35 · 53 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,384,20878] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-189:1] |
Generators of the group modulo torsion |
j |
50284268371/1530954432 |
j-invariant |
L |
5.5212077125479 |
L(r)(E,1)/r! |
Ω |
0.75922720772331 |
Real period |
R |
0.72721415360014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150ds1 43050bp1 |
Quadratic twists by: -3 5 |