Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120k |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
134835840000 = 210 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1467,-12474] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:90:1] |
Generators of the group modulo torsion |
j |
467720676/180625 |
j-invariant |
L |
4.2349862909679 |
L(r)(E,1)/r! |
Ω |
0.7971016102243 |
Real period |
R |
1.3282454321527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12240r2 48960be2 680a2 30600ch2 |
Quadratic twists by: -4 8 -3 5 |