Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240k |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
147840000 = 210 · 3 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4936,-135136] |
[a1,a2,a3,a4,a6] |
j |
12990838708516/144375 |
j-invariant |
L |
2.2782884895283 |
L(r)(E,1)/r! |
Ω |
0.56957212238209 |
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 |
18480h3 73920bg4 27720bn4 46200bx4 |
Quadratic twists by: -4 8 -3 5 |