Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cu |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26648929894400 = 228 · 52 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3844652,2901574096] |
[a1,a2,a3,a4,a6] |
Generators |
[970:9216:1] |
Generators of the group modulo torsion |
j |
23974794703037459169/101657600 |
j-invariant |
L |
3.624332238154 |
L(r)(E,1)/r! |
Ω |
0.44934659489242 |
Real period |
R |
2.016445812164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bt2 16720y2 |
Quadratic twists by: -4 8 |