Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880co |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
270612531200000 = 214 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63601,-6143985] |
[a1,a2,a3,a4,a6] |
Generators |
[2682:25707:8] |
Generators of the group modulo torsion |
j |
1736610544209616/16516878125 |
j-invariant |
L |
5.1634258238644 |
L(r)(E,1)/r! |
Ω |
0.3008031220144 |
Real period |
R |
4.2913665499997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880h2 16720o2 |
Quadratic twists by: -4 8 |