Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725w |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.2653188775635E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2034230,1082866772] |
[a1,a2,a3,a4,a6] |
Generators |
[960:3268:1] |
Generators of the group modulo torsion |
j |
81728988143192209/2866672265625 |
j-invariant |
L |
3.8163224346614 |
L(r)(E,1)/r! |
Ω |
0.20629373718639 |
Real period |
R |
4.6248646310223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994821 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22575n2 13545k2 |
Quadratic twists by: -3 5 |