Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bj |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
128 |
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 |
[-283205:2635248:125] |
Generators of the group modulo torsion |
j |
31368919137792368257/7430386718185992 |
j-invariant |
L |
6.5612611691565 |
L(r)(E,1)/r! |
Ω |
0.13887400695678 |
Real period |
R |
5.9057678549245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65472y6 16368ba5 |
Quadratic twists by: -4 8 |