Atkin-Lehner |
3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
6225f |
Isogeny class |
Conductor |
6225 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-47861982421875 = -1 · 310 · 510 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 3 4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52513,-4648108] |
[a1,a2,a3,a4,a6] |
j |
-1639927598425/4901067 |
j-invariant |
L |
1.5766129149682 |
L(r)(E,1)/r! |
Ω |
0.15766129149682 |
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 |
99600cb1 18675l1 6225b1 |
Quadratic twists by: -4 -3 5 |