Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50540f |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
52195244622644480 = 28 · 5 · 74 · 198 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5359165,-4776998817] |
[a1,a2,a3,a4,a6] |
Generators |
[-458381:36994:343] |
Generators of the group modulo torsion |
j |
3915131969536/12005 |
j-invariant |
L |
4.6137833635781 |
L(r)(E,1)/r! |
Ω |
0.099225968306982 |
Real period |
R |
7.7496234811298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50540k1 |
Quadratic twists by: -19 |