Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675d |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-13224515625 = -1 · 39 · 56 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 -3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,-6128] |
[a1,a2,a3,a4,a6] |
j |
-19683/43 |
j-invariant |
L |
1.0128156640544 |
L(r)(E,1)/r! |
Ω |
0.5064078320272 |
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 |
9675a1 387b1 |
Quadratic twists by: -3 5 |