Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bn |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-24220560546875 = -1 · 59 · 7 · 116 |
Discriminant |
Eigenvalues |
-2 1 5- 7- 11- -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5042,194244] |
[a1,a2,a3,a4,a6] |
j |
4096/7 |
j-invariant |
L |
0.9219925509849 |
L(r)(E,1)/r! |
Ω |
0.46099627549245 |
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 |
21175be1 175c1 |
Quadratic twists by: 5 -11 |