Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600y |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-110901745609200 = -1 · 24 · 314 · 52 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7288,557993] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:819:1] |
Generators of the group modulo torsion |
j |
-107040567189760/277254364023 |
j-invariant |
L |
7.8798208647873 |
L(r)(E,1)/r! |
Ω |
0.52401348153927 |
Real period |
R |
0.089508566622256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200c1 54600bs1 |
Quadratic twists by: -4 5 |