Atkin-Lehner |
3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025q |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-159075 = -1 · 32 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7,-16] |
[a1,a2,a3,a4,a6] |
j |
1310720/6363 |
j-invariant |
L |
3.2601140230662 |
L(r)(E,1)/r! |
Ω |
1.630057011076 |
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 |
53025j1 |
Quadratic twists by: 5 |