Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bn |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-269757012285810 = -1 · 2 · 318 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7222,752267] |
[a1,a2,a3,a4,a6] |
j |
57151154952359/370037053890 |
j-invariant |
L |
3.1964766891098 |
L(r)(E,1)/r! |
Ω |
0.39955958613872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090n4 91350cb3 127890gj3 |
Quadratic twists by: -3 5 -7 |