Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800eo |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33792000000 = 216 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70433,-7171263] |
[a1,a2,a3,a4,a6] |
j |
37736227588/33 |
j-invariant |
L |
2.3444717500283 |
L(r)(E,1)/r! |
Ω |
0.29305896865043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800di4 13200bb3 2112y3 |
Quadratic twists by: -4 8 5 |