Atkin-Lehner |
5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175j |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90000 |
Modular degree for the optimal curve |
Δ |
19859833984375 = 510 · 75 · 112 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7+ 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7305,110322] |
[a1,a2,a3,a4,a6] |
j |
36479025/16807 |
j-invariant |
L |
0.61284574751795 |
L(r)(E,1)/r! |
Ω |
0.6128457475179 |
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 |
21175bj1 21175t1 |
Quadratic twists by: 5 -11 |