Atkin-Lehner |
2+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666a |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
65628645362075488 = 25 · 78 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11+ 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-227630,39848404] |
[a1,a2,a3,a4,a6] |
Generators |
[461:5527:1] |
Generators of the group modulo torsion |
j |
226272027459625/11384373088 |
j-invariant |
L |
3.3086858196955 |
L(r)(E,1)/r! |
Ω |
0.34401739635936 |
Real period |
R |
1.6029643920658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50666e1 |
Quadratic twists by: -7 |