Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23430i |
Isogeny class |
Conductor |
23430 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-591035640053760000 = -1 · 224 · 38 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1270,36988452] |
[a1,a2,a3,a4,a6] |
j |
226523624554079/591035640053760000 |
j-invariant |
L |
5.5243755645135 |
L(r)(E,1)/r! |
Ω |
0.23018231518806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
70290d1 117150a1 |
Quadratic twists by: -3 5 |