Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472y |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.9478312958521E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4205057,-2552250273] |
[a1,a2,a3,a4,a6] |
Generators |
[3720610:-182538741:1000] |
Generators of the group modulo torsion |
j |
31368919137792368257/7430386718185992 |
j-invariant |
L |
9.7308984657066 |
L(r)(E,1)/r! |
Ω |
0.10723652629035 |
Real period |
R |
11.34279848751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bj6 2046g5 |
Quadratic twists by: -4 8 |