Atkin-Lehner |
5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175x |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-685084833125 = -1 · 54 · 77 · 113 |
Discriminant |
Eigenvalues |
1 -3 5- 7+ 11+ 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2183,6166] |
[a1,a2,a3,a4,a6] |
j |
1382658525/823543 |
j-invariant |
L |
1.1070591889504 |
L(r)(E,1)/r! |
Ω |
0.55352959447522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21175o1 21175bg1 |
Quadratic twists by: 5 -11 |