Atkin-Lehner |
11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327n |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4104 |
Modular degree for the optimal curve |
Δ |
-41327 = -1 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 -1 4 -3 11- 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
-83521/143 |
j-invariant |
L |
3.5856772012455 |
L(r)(E,1)/r! |
Ω |
1.4400447876977 |
Real period |
R |
2.4899761673252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41327i1 |
Quadratic twists by: 17 |