Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900l |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
900497250000 = 24 · 310 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,-81875] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:50:1] |
Generators of the group modulo torsion |
j |
35995648/4941 |
j-invariant |
L |
5.5883144284834 |
L(r)(E,1)/r! |
Ω |
0.60963407729642 |
Real period |
R |
2.2916675086338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300h1 2196d1 |
Quadratic twists by: -3 5 |