Atkin-Lehner |
3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873g |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
-5880355299 = -1 · 39 · 73 · 13 · 67 |
Discriminant |
Eigenvalues |
2 3+ 2 7- -6 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,81,-3679] |
[a1,a2,a3,a4,a6] |
Generators |
[2148:12253:64] |
Generators of the group modulo torsion |
j |
2985984/298753 |
j-invariant |
L |
13.866983098788 |
L(r)(E,1)/r! |
Ω |
0.63937172304127 |
Real period |
R |
3.614742045209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873h1 |
Quadratic twists by: -3 |