Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300k |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
766800 = 24 · 33 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
10240000/1917 |
j-invariant |
L |
6.0422243599609 |
L(r)(E,1)/r! |
Ω |
2.0126469208892 |
Real period |
R |
0.33356981557465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200by1 63900i1 21300g1 |
Quadratic twists by: -4 -3 5 |