Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bn |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-728271000000 = -1 · 26 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2247,-2248] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1890:1] |
Generators of the group modulo torsion |
j |
26892143936/15609375 |
j-invariant |
L |
6.9153960358449 |
L(r)(E,1)/r! |
Ω |
0.53458400399817 |
Real period |
R |
3.2340081184953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280bo1 106560gm1 17760h1 |
Quadratic twists by: -4 8 -3 |