Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560g |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-79266013750000 = -1 · 24 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9947,573839] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6125:1] |
Generators of the group modulo torsion |
j |
-1180037376/859375 |
j-invariant |
L |
5.3635727524737 |
L(r)(E,1)/r! |
Ω |
0.56135913977111 |
Real period |
R |
0.22749093068336 |
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 |
43120m1 107800bk1 21560d1 |
Quadratic twists by: -4 5 -7 |