Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cr |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36951552000000 = 215 · 38 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14433,-604737] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:36:1] |
Generators of the group modulo torsion |
j |
649461896/72171 |
j-invariant |
L |
7.2687915865041 |
L(r)(E,1)/r! |
Ω |
0.43871440480189 |
Real period |
R |
2.0710488152727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800g4 26400c3 2112f3 |
Quadratic twists by: -4 8 5 |