Atkin-Lehner |
5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175w |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-6447513217578125 = -1 · 58 · 7 · 119 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 11+ 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107451,-14105577] |
[a1,a2,a3,a4,a6] |
j |
-148955/7 |
j-invariant |
L |
0.78891279995742 |
L(r)(E,1)/r! |
Ω |
0.13148546665957 |
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 |
21175m1 21175bf1 |
Quadratic twists by: 5 -11 |