Atkin-Lehner |
7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14161c |
Isogeny class |
Conductor |
14161 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
11662192423 = 79 · 172 |
Discriminant |
Eigenvalues |
-1 3 4 7- 0 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,1054] |
[a1,a2,a3,a4,a6] |
j |
610929/343 |
j-invariant |
L |
4.3957535030734 |
L(r)(E,1)/r! |
Ω |
1.0989383757683 |
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 |
127449bj1 2023b1 14161d1 |
Quadratic twists by: -3 -7 17 |