Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880t |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-29859840000 = -1 · 216 · 36 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,7344] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:80:1] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
3.3003448001466 |
L(r)(E,1)/r! |
Ω |
0.82421484961373 |
Real period |
R |
0.50052859422718 |
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 |
2880bg4 360e4 320b4 14400bp4 |
Quadratic twists by: -4 8 -3 5 |