Atkin-Lehner |
3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747r |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
506219847500608857 = 312 · 77 · 114 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12188930,-16376259760] |
[a1,a2,a3,a4,a6] |
j |
274721658212865197265625/694403082991233 |
j-invariant |
L |
1.1311918412392 |
L(r)(E,1)/r! |
Ω |
0.08079941707714 |
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 |
18249p1 |
Quadratic twists by: -3 |