Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21960g |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
36019890000 = 24 · 310 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,3193] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:81:1] |
Generators of the group modulo torsion |
j |
5988775936/3088125 |
j-invariant |
L |
3.8383918879526 |
L(r)(E,1)/r! |
Ω |
1.0206650831803 |
Real period |
R |
0.94016929529728 |
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 |
43920m1 7320q1 109800bw1 |
Quadratic twists by: -4 -3 5 |