Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9675h |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-198367734375 = -1 · 310 · 57 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,-21384] |
[a1,a2,a3,a4,a6] |
j |
357911/17415 |
j-invariant |
L |
0.96257527762595 |
L(r)(E,1)/r! |
Ω |
0.48128763881297 |
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 |
3225e1 1935k1 |
Quadratic twists by: -3 5 |