Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928q |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-22929227776 = -1 · 214 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10872,-432784] |
[a1,a2,a3,a4,a6] |
j |
-1214950633/196 |
j-invariant |
L |
2.8052134469897 |
L(r)(E,1)/r! |
Ω |
0.23376778724914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366e1 75712cg1 18928bc1 |
Quadratic twists by: -4 8 13 |