Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672p |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-85282689024 = -1 · 212 · 36 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 -4 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,37856] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1404:1] [-22:268:1] |
Generators of the group modulo torsion |
j |
-10816 |
j-invariant |
L |
8.9327587279335 |
L(r)(E,1)/r! |
Ω |
1.0535699479971 |
Real period |
R |
0.35327344049457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672bq1 97344ba1 5408i1 48672bo1 |
Quadratic twists by: -4 8 -3 13 |