Atkin-Lehner |
3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975f |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-209296875 = -1 · 3 · 57 · 19 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 5 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438,-3633] |
[a1,a2,a3,a4,a6] |
j |
-594823321/13395 |
j-invariant |
L |
2.084381689264 |
L(r)(E,1)/r! |
Ω |
0.52109542091145 |
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 |
13395b1 |
Quadratic twists by: 5 |