Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bk |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7984742400 = 215 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1025,-12225] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:24:1] |
Generators of the group modulo torsion |
j |
3638052872/243675 |
j-invariant |
L |
7.0858806878711 |
L(r)(E,1)/r! |
Ω |
0.84724247311343 |
Real period |
R |
0.69695521183289 |
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 |
18240v2 9120c2 54720p2 91200g2 |
Quadratic twists by: -4 8 -3 5 |