Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300k |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-150700500000000 = -1 · 28 · 34 · 59 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12092,-290812] |
[a1,a2,a3,a4,a6] |
j |
48878989616/37675125 |
j-invariant |
L |
3.8687044008185 |
L(r)(E,1)/r! |
Ω |
0.32239203340155 |
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 |
73200bp2 54900q2 3660b2 |
Quadratic twists by: -4 -3 5 |