Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450d |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0870418801375E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11797500,15590250000] |
[a1,a2,a3,a4,a6] |
Generators |
[2000:-500:1] |
Generators of the group modulo torsion |
j |
11621808143080380273601/1335706803288000 |
j-invariant |
L |
3.7080325983078 |
L(r)(E,1)/r! |
Ω |
0.20716703005318 |
Real period |
R |
2.2373447872931 |
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 |
64350el5 4290bb4 |
Quadratic twists by: -3 5 |