Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1200p |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2160000000000 = 213 · 33 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115408,-15128812] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:6:1] |
Generators of the group modulo torsion |
j |
2656166199049/33750 |
j-invariant |
L |
2.7857614073248 |
L(r)(E,1)/r! |
Ω |
0.25902435054978 |
Real period |
R |
1.7924707345159 |
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 |
150c5 4800bp4 3600bk5 240b4 |
Quadratic twists by: -4 8 -3 5 |