Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cx |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-11419289280000 = -1 · 29 · 39 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5389,57441] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1297:1] |
Generators of the group modulo torsion |
j |
353221512666239/233046720000 |
j-invariant |
L |
11.405796177102 |
L(r)(E,1)/r! |
Ω |
0.44924221952273 |
Real period |
R |
0.15672202251248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390bw1 |
Quadratic twists by: -7 |