Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bs |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
57312360000 = 26 · 34 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1006,3944] |
[a1,a2,a3,a4,a6] |
j |
1761040374976/895505625 |
j-invariant |
L |
3.9369031575168 |
L(r)(E,1)/r! |
Ω |
0.98422578759168 |
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 |
63840bf1 127680et2 |
Quadratic twists by: -4 8 |