Atkin-Lehner |
2- 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248l |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
20532915929088 = 216 · 38 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36048,-2613312] |
[a1,a2,a3,a4,a6] |
j |
1264792655148625/5012918928 |
j-invariant |
L |
1.3862507250985 |
L(r)(E,1)/r! |
Ω |
0.34656268127098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5406i1 129744by1 |
Quadratic twists by: -4 -3 |