Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450d |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
175452420000000 = 28 · 3 · 57 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22845500,-42038526000] |
[a1,a2,a3,a4,a6] |
Generators |
[17064589372061672:-1503286918711251372:1658536153253] |
Generators of the group modulo torsion |
j |
84392862605474684114881/11228954880 |
j-invariant |
L |
3.7080325983078 |
L(r)(E,1)/r! |
Ω |
0.069055676684393 |
Real period |
R |
26.848137447517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350el3 4290bb3 |
Quadratic twists by: -3 5 |