Atkin-Lehner |
5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675r |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-484153208984375 = -1 · 59 · 78 · 43 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8805,1107572] |
[a1,a2,a3,a4,a6] |
j |
-328509/2107 |
j-invariant |
L |
0.90418492459807 |
L(r)(E,1)/r! |
Ω |
0.45209246180888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52675n1 7525d1 |
Quadratic twists by: 5 -7 |