Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bp |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14313390080 = 216 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,-4577] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
592143556/218405 |
j-invariant |
L |
4.7504713650119 |
L(r)(E,1)/r! |
Ω |
0.95515443990048 |
Real period |
R |
2.4867556315504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880de2 8360b2 |
Quadratic twists by: -4 8 |