Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640d |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
10075625000000 = 26 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20453,-1115452] |
[a1,a2,a3,a4,a6] |
j |
14784777503441856/157431640625 |
j-invariant |
L |
1.198425141698 |
L(r)(E,1)/r! |
Ω |
0.39947504783007 |
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 |
52640k1 105280q2 |
Quadratic twists by: -4 8 |