Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bq |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
700416000000 = 218 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5985,-175617] |
[a1,a2,a3,a4,a6] |
j |
90458382169/2671875 |
j-invariant |
L |
3.2625952192513 |
L(r)(E,1)/r! |
Ω |
0.54376586987521 |
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 |
18240cc2 285b2 54720bj2 91200bd2 |
Quadratic twists by: -4 8 -3 5 |