Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328j |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-802829246464 = -1 · 213 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,-90768] |
[a1,a2,a3,a4,a6] |
j |
-208537/34 |
j-invariant |
L |
4.906121660299 |
L(r)(E,1)/r! |
Ω |
0.30663260376869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666b1 53312bk1 119952ed1 13328x1 |
Quadratic twists by: -4 8 -3 -7 |