Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21240h |
Isogeny class |
Conductor |
21240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
165162240 = 28 · 37 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,1172] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
7023616/885 |
j-invariant |
L |
5.1016582042454 |
L(r)(E,1)/r! |
Ω |
1.7501616263485 |
Real period |
R |
0.72874100989307 |
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 |
42480h1 7080b1 106200l1 |
Quadratic twists by: -4 -3 5 |