Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550x |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-405769000 = -1 · 23 · 53 · 74 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,147,697] |
[a1,a2,a3,a4,a6] |
Generators |
[8:45:1] |
Generators of the group modulo torsion |
j |
2809189531/3246152 |
j-invariant |
L |
3.6838427859972 |
L(r)(E,1)/r! |
Ω |
1.1225853395233 |
Real period |
R |
0.54692839470619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400ct2 40950bz2 4550n2 31850cq2 |
Quadratic twists by: -4 -3 5 -7 |