Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bs |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
4661590500 = 22 · 38 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33287,-2329189] |
[a1,a2,a3,a4,a6] |
j |
5595100866606889/6394500 |
j-invariant |
L |
4.2414386133062 |
L(r)(E,1)/r! |
Ω |
0.35345321777552 |
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 |
6090h1 91350bo1 127890en1 |
Quadratic twists by: -3 5 -7 |