Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064a |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2037980736 = 26 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-382,-1760] |
[a1,a2,a3,a4,a6] |
Generators |
[534:12320:1] |
Generators of the group modulo torsion |
j |
96576225472/31843449 |
j-invariant |
L |
5.2680543469707 |
L(r)(E,1)/r! |
Ω |
1.1081564860069 |
Real period |
R |
4.75389027948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20064l1 40128ce2 60192u1 |
Quadratic twists by: -4 8 -3 |