Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bw |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-444180672 = -1 · 26 · 35 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-563,5433] |
[a1,a2,a3,a4,a6] |
j |
-10816000/243 |
j-invariant |
L |
1.66972165799 |
L(r)(E,1)/r! |
Ω |
1.6697216579875 |
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 |
32448cv1 16224r1 97344ek1 32448bv1 |
Quadratic twists by: -4 8 -3 13 |