Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cu |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
18030055680000000 = 214 · 35 · 57 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-203188,34638992] |
[a1,a2,a3,a4,a6] |
Generators |
[2312:-110356:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
8.7532137227202 |
L(r)(E,1)/r! |
Ω |
0.3881852089173 |
Real period |
R |
0.053688251317519 |
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 |
109200df1 40950bo1 2730g1 95550gn1 |
Quadratic twists by: -4 -3 5 -7 |