Atkin-Lehner |
2- 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718t |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
169021188 = 22 · 33 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-202,-928] |
[a1,a2,a3,a4,a6] |
j |
911826451873/169021188 |
j-invariant |
L |
7.695307688299 |
L(r)(E,1)/r! |
Ω |
1.2825512813833 |
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 |
98154bh1 |
Quadratic twists by: -3 |