Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180p |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1185410315250000 = 24 · 38 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2169228,1229717977] |
[a1,a2,a3,a4,a6] |
Generators |
[726:6125:1] |
Generators of the group modulo torsion |
j |
96781379005589241856/101629828125 |
j-invariant |
L |
6.6402038925927 |
L(r)(E,1)/r! |
Ω |
0.40933224947726 |
Real period |
R |
0.54073464779655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060q1 |
Quadratic twists by: -3 |