Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800k |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1393920000000 = 214 · 32 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23633,1405137] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-300:1] |
Generators of the group modulo torsion |
j |
5702413264/5445 |
j-invariant |
L |
5.8005551629667 |
L(r)(E,1)/r! |
Ω |
0.84948875108406 |
Real period |
R |
0.85353619391836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ha2 6600p2 10560bb2 |
Quadratic twists by: -4 8 5 |