Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bh |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5323161600 = 216 · 32 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641,4959] |
[a1,a2,a3,a4,a6] |
Generators |
[25:72:1] |
Generators of the group modulo torsion |
j |
445138564/81225 |
j-invariant |
L |
5.4602062755245 |
L(r)(E,1)/r! |
Ω |
1.2925017060841 |
Real period |
R |
2.1122626956011 |
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 |
18240bs2 2280a2 54720cc2 91200y2 |
Quadratic twists by: -4 8 -3 5 |