Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dd |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-184384512 = -1 · 210 · 36 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-721] |
[a1,a2,a3,a4,a6] |
j |
-42592000/180063 |
j-invariant |
L |
4.4545644115202 |
L(r)(E,1)/r! |
Ω |
0.74242740187927 |
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 |
47424e1 11856t1 |
Quadratic twists by: -4 8 |