Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300k |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.17865280625E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2981908,-2005195688] |
[a1,a2,a3,a4,a6] |
Generators |
[2881:115362:1] |
Generators of the group modulo torsion |
j |
-733071924285340624/10446632015625 |
j-invariant |
L |
3.5123396350335 |
L(r)(E,1)/r! |
Ω |
0.057395515028861 |
Real period |
R |
3.8247104683721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260j2 |
Quadratic twists by: 5 |