Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480a |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2912454144000 = 212 · 39 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17388,878688] |
[a1,a2,a3,a4,a6] |
Generators |
[18:756:1] |
Generators of the group modulo torsion |
j |
7211429568/36125 |
j-invariant |
L |
5.6851154219981 |
L(r)(E,1)/r! |
Ω |
0.80754030611545 |
Real period |
R |
1.7600098035185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24480v2 48960r1 24480ba2 122400cj2 |
Quadratic twists by: -4 8 -3 5 |