Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gh |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2323200000000 = 214 · 3 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39633,3022863] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5325:1] |
Generators of the group modulo torsion |
j |
26894628304/9075 |
j-invariant |
L |
6.56676493778 |
L(r)(E,1)/r! |
Ω |
0.80250557536886 |
Real period |
R |
4.091413903738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bb2 13200bs2 10560bs2 |
Quadratic twists by: -4 8 5 |