Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529z |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5470764278397E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1454868,612004329] |
[a1,a2,a3,a4,a6] |
Generators |
[-936:34425:1] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
6.6921282429617 |
L(r)(E,1)/r! |
Ω |
0.20013369926013 |
Real period |
R |
4.1797859811996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24843s3 1521d3 5733g4 |
Quadratic twists by: -3 -7 13 |