Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bl |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
9576141526401024 = 225 · 3 · 175 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 1 1 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360880,83190356] |
[a1,a2,a3,a4,a6] |
Generators |
[13638:-147968:27] |
Generators of the group modulo torsion |
j |
1268976004235100721/2337925177344 |
j-invariant |
L |
8.7524206987861 |
L(r)(E,1)/r! |
Ω |
0.4093571251392 |
Real period |
R |
1.0690446264745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834p1 |
Quadratic twists by: -4 |