Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880s |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-111974400000000 = -1 · 217 · 37 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,512624] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:720:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
3.4071617755026 |
L(r)(E,1)/r! |
Ω |
0.49252910756028 |
Real period |
R |
0.43235538306303 |
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 |
2880be6 360a6 960b6 14400z6 |
Quadratic twists by: -4 8 -3 5 |