Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ed |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.8608553586875E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4007180,-770661053] |
[a1,a2,a3,a4,a6] |
Generators |
[-560581:-12603947:343] |
Generators of the group modulo torsion |
j |
13060888875/7086244 |
j-invariant |
L |
10.353983556654 |
L(r)(E,1)/r! |
Ω |
0.11378117022882 |
Real period |
R |
11.37488691656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450k2 2178a4 4950b4 |
Quadratic twists by: -3 5 -11 |