Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
53400h |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
320400000000 = 210 · 32 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7008,-226512] |
[a1,a2,a3,a4,a6] |
j |
2379293284/20025 |
j-invariant |
L |
2.0882204624891 |
L(r)(E,1)/r! |
Ω |
0.5220551158017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800a1 10680d1 |
Quadratic twists by: -4 5 |