Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bd |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
6368040000 = 26 · 32 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-966,-10584] |
[a1,a2,a3,a4,a6] |
j |
1559281836736/99500625 |
j-invariant |
L |
1.7194207330979 |
L(r)(E,1)/r! |
Ω |
0.85971036764506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bw1 127680gc2 |
Quadratic twists by: -4 8 |