Atkin-Lehner |
2+ 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672a |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-4747279104 = -1 · 28 · 35 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5769,-166779] |
[a1,a2,a3,a4,a6] |
Generators |
[71321140:2286834151:68921] |
Generators of the group modulo torsion |
j |
-82958452513792/18544059 |
j-invariant |
L |
6.7421615582433 |
L(r)(E,1)/r! |
Ω |
0.2738938792432 |
Real period |
R |
12.307981428583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27336e1 |
Quadratic twists by: -4 |