Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bc |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1422933277500 = -1 · 22 · 314 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12128,520287] |
[a1,a2,a3,a4,a6] |
j |
-270601485933241/1951897500 |
j-invariant |
L |
3.4291069766993 |
L(r)(E,1)/r! |
Ω |
0.85727674417482 |
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 |
85680dm1 3570h1 53550bf1 74970dx1 |
Quadratic twists by: -4 -3 5 -7 |