Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7137g |
Isogeny class |
Conductor |
7137 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4125878289 = 38 · 132 · 612 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-581,4556] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:103:1] [0:67:1] |
Generators of the group modulo torsion |
j |
29704593673/5659641 |
j-invariant |
L |
3.3198256600905 |
L(r)(E,1)/r! |
Ω |
1.3178248083113 |
Real period |
R |
2.5191707115794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114192cc2 2379b2 92781l2 |
Quadratic twists by: -4 -3 13 |