Atkin-Lehner |
5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675q |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
1316875 = 54 · 72 · 43 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 0 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200,-1175] |
[a1,a2,a3,a4,a6] |
j |
29115625/43 |
j-invariant |
L |
1.2688146929201 |
L(r)(E,1)/r! |
Ω |
1.2688146933633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52675c1 52675l1 |
Quadratic twists by: 5 -7 |