Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
52668p |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
11660218397017344 = 28 · 37 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157512,-23493692] |
[a1,a2,a3,a4,a6] |
j |
2315779240321024/62479736781 |
j-invariant |
L |
1.4402495696839 |
L(r)(E,1)/r! |
Ω |
0.24004159501666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556k1 |
Quadratic twists by: -3 |