Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47652j |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45120 |
Modular degree for the optimal curve |
Δ |
-14460857136 = -1 · 24 · 32 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-709,9056] |
[a1,a2,a3,a4,a6] |
j |
-359661568/131769 |
j-invariant |
L |
4.7057936126445 |
L(r)(E,1)/r! |
Ω |
1.1764484031137 |
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 |
47652e1 |
Quadratic twists by: -19 |