Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5382g |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-58758006528 = -1 · 28 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,297,11421] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:66:1] [-2:105:1] |
Generators of the group modulo torsion |
j |
3966822287/80600832 |
j-invariant |
L |
3.2367991422573 |
L(r)(E,1)/r! |
Ω |
0.83114884435783 |
Real period |
R |
0.97359190361284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056bo1 1794j1 69966bg1 123786u1 |
Quadratic twists by: -4 -3 13 -23 |