Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37940187414528000 = 217 · 39 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84780,-1566000] |
[a1,a2,a3,a4,a6] |
j |
208974222/117649 |
j-invariant |
L |
3.613995904467 |
L(r)(E,1)/r! |
Ω |
0.30116630833078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bu2 25200r2 100800kq2 100800kh2 |
Quadratic twists by: -4 8 -3 5 |