Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cz |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1751040000 = 214 · 32 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305,303] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
7.3809348972966 |
L(r)(E,1)/r! |
Ω |
1.2910541775734 |
Real period |
R |
1.4292457716936 |
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 |
18240u2 4560o2 54720ee2 91200gm2 |
Quadratic twists by: -4 8 -3 5 |