Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bh |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
667863960750 = 2 · 33 · 53 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4622,115519] |
[a1,a2,a3,a4,a6] |
j |
404353939449123/24735702250 |
j-invariant |
L |
5.3586547241029 |
L(r)(E,1)/r! |
Ω |
0.89310912068382 |
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 |
18270a2 91350p2 127890dp2 |
Quadratic twists by: -3 5 -7 |