Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800go |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
369515520000000 = 216 · 38 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120033,-16019937] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:153:1] |
Generators of the group modulo torsion |
j |
186779563204/360855 |
j-invariant |
L |
5.837230363156 |
L(r)(E,1)/r! |
Ω |
0.25652192640173 |
Real period |
R |
2.8444110241829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bi4 13200m3 10560bk3 |
Quadratic twists by: -4 8 5 |