Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050cc |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7864320 |
Modular degree for the optimal curve |
Δ |
8523806074784000 = 28 · 53 · 72 · 114 · 135 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-566260315,5186616728587] |
[a1,a2,a3,a4,a6] |
j |
160643100256071542772421986261/68190448598272 |
j-invariant |
L |
2.7895594129971 |
L(r)(E,1)/r! |
Ω |
0.17434746336819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050x1 |
Quadratic twists by: 5 |