Atkin-Lehner |
7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14161b |
Isogeny class |
Conductor |
14161 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
48275934539777 = 76 · 177 |
Discriminant |
Eigenvalues |
-1 0 -2 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9736,-155550] |
[a1,a2,a3,a4,a6] |
j |
35937/17 |
j-invariant |
L |
0.50340298455689 |
L(r)(E,1)/r! |
Ω |
0.50340298455689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127449bh1 289a1 833a1 |
Quadratic twists by: -3 -7 17 |