Atkin-Lehner |
3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477o |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-3621051 = -1 · 33 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- -3 7- 0 -6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30,67] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:43:8] [-1:6:1] |
Generators of the group modulo torsion |
j |
9129329/10557 |
j-invariant |
L |
11.483171249311 |
L(r)(E,1)/r! |
Ω |
1.6635303014547 |
Real period |
R |
1.1504821241986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57477b1 |
Quadratic twists by: -7 |