Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544a |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-39016173168 = -1 · 24 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,-8105] |
[a1,a2,a3,a4,a6] |
Generators |
[772:1287:64] |
Generators of the group modulo torsion |
j |
224000/423 |
j-invariant |
L |
6.8171608567339 |
L(r)(E,1)/r! |
Ω |
0.60171641253908 |
Real period |
R |
5.6647622609111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272h1 110544bl1 |
Quadratic twists by: -4 -7 |