Atkin-Lehner |
2+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666c |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-243298132 = -1 · 22 · 76 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-564,-5452] |
[a1,a2,a3,a4,a6] |
j |
-169112377/2068 |
j-invariant |
L |
3.9149240682563 |
L(r)(E,1)/r! |
Ω |
0.48936550851181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1034a1 |
Quadratic twists by: -7 |