Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560a |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
28471058000 = 24 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247058,-47265743] |
[a1,a2,a3,a4,a6] |
j |
885956203616256/15125 |
j-invariant |
L |
0.42828199838229 |
L(r)(E,1)/r! |
Ω |
0.21414099919114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43120j1 107800bn1 440c1 |
Quadratic twists by: -4 5 -7 |