Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880cf |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
89764816486400 = 234 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12428,276752] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:900:1] |
Generators of the group modulo torsion |
j |
809818183161/342425600 |
j-invariant |
L |
3.8382683572197 |
L(r)(E,1)/r! |
Ω |
0.54546503960776 |
Real period |
R |
3.5183449702416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880l1 16720bi1 |
Quadratic twists by: -4 8 |