Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5382b |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-26741421637632 = -1 · 220 · 38 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8487,-388355] |
[a1,a2,a3,a4,a6] |
j |
-92744373984625/36682334208 |
j-invariant |
L |
0.97574070251687 |
L(r)(E,1)/r! |
Ω |
0.24393517562922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056bc1 1794g1 69966z1 123786i1 |
Quadratic twists by: -4 -3 13 -23 |