Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800f |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
243109902960000000 = 210 · 33 · 57 · 1034 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160408,-7033312] |
[a1,a2,a3,a4,a6] |
j |
28528865980996/15194368935 |
j-invariant |
L |
3.0420373846289 |
L(r)(E,1)/r! |
Ω |
0.25350311543305 |
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 |
123600d3 12360e3 |
Quadratic twists by: -4 5 |