Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640cl |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-13448127772800000 = -1 · 210 · 36 · 55 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17493,5507894] |
[a1,a2,a3,a4,a6] |
j |
137564/3125 |
j-invariant |
L |
2.978798039123 |
L(r)(E,1)/r! |
Ω |
0.2978798039123 |
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 |
35280ca1 1960a1 88200bh1 17640cd1 |
Quadratic twists by: -4 -3 5 -7 |