Atkin-Lehner |
13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7163c |
Isogeny class |
Conductor |
7163 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6402803266457 = 13 · 198 · 29 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4726,-27340] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:124:1] |
Generators of the group modulo torsion |
j |
11671285958751537/6402803266457 |
j-invariant |
L |
1.3038753513977 |
L(r)(E,1)/r! |
Ω |
0.61544651809319 |
Real period |
R |
4.2371686671898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114608l4 64467p4 93119h4 |
Quadratic twists by: -4 -3 13 |