Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626bi |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9684584208 = 24 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-743,-6001] |
[a1,a2,a3,a4,a6] |
j |
12649337/2704 |
j-invariant |
L |
7.4270447667906 |
L(r)(E,1)/r! |
Ω |
0.92838059469075 |
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 |
7514d1 67626bj1 |
Quadratic twists by: -3 17 |