Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4641g |
Isogeny class |
Conductor |
4641 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8312741073 = -1 · 310 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- -4 7- -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-370,5141] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-106:1] |
Generators of the group modulo torsion |
j |
-5602762882081/8312741073 |
j-invariant |
L |
2.0795846410604 |
L(r)(E,1)/r! |
Ω |
1.1766577333128 |
Real period |
R |
0.17673658041625 |
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 |
74256bw2 13923l2 116025c2 32487b2 |
Quadratic twists by: -4 -3 5 -7 |