Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
696960000000000 = 216 · 32 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29633,-1507137] |
[a1,a2,a3,a4,a6] |
Generators |
[4567:308448:1] |
Generators of the group modulo torsion |
j |
2810381476/680625 |
j-invariant |
L |
9.1315909516917 |
L(r)(E,1)/r! |
Ω |
0.37029137313796 |
Real period |
R |
6.1651388703952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800bk2 13200l2 10560bw2 |
Quadratic twists by: -4 8 5 |