Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464i |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-606154752 = -1 · 212 · 36 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,2032] |
[a1,a2,a3,a4,a6] |
j |
-681472/203 |
j-invariant |
L |
3.084625188753 |
L(r)(E,1)/r! |
Ω |
1.5423125946305 |
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 |
58464bd1 116928bn1 6496j1 |
Quadratic twists by: -4 8 -3 |