Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16920i |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-74008080000000 = -1 · 210 · 39 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1377243,622105542] |
[a1,a2,a3,a4,a6] |
Generators |
[699:972:1] |
Generators of the group modulo torsion |
j |
-14333893854522732/3671875 |
j-invariant |
L |
3.8741304263409 |
L(r)(E,1)/r! |
Ω |
0.48985572322863 |
Real period |
R |
1.9771793217024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33840a1 16920c1 84600b1 |
Quadratic twists by: -4 -3 5 |