Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180f |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-23562058464000 = -1 · 28 · 33 · 53 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17232,901444] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-210:1] |
Generators of the group modulo torsion |
j |
-81870424178688/3408862625 |
j-invariant |
L |
5.6898472370051 |
L(r)(E,1)/r! |
Ω |
0.6692945489523 |
Real period |
R |
0.47229224377242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54180c2 |
Quadratic twists by: -3 |