Atkin-Lehner |
2- 3- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472p |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-402580868192796672 = -1 · 225 · 38 · 23 · 433 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5712,30525588] |
[a1,a2,a3,a4,a6] |
j |
-5032738790353/98286344773632 |
j-invariant |
L |
3.829955463 |
L(r)(E,1)/r! |
Ω |
0.23937221642837 |
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 |
5934g1 |
Quadratic twists by: -4 |