Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322o |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-29002206528512 = -1 · 210 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45555,-3739949] |
[a1,a2,a3,a4,a6] |
j |
-369140625/1024 |
j-invariant |
L |
9.8020154744604 |
L(r)(E,1)/r! |
Ω |
0.16336692457435 |
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 |
28322bd1 28322p1 |
Quadratic twists by: -7 17 |