Atkin-Lehner |
3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345g |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10818005625 = -1 · 34 · 54 · 74 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,245,4802] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:56:1] |
Generators of the group modulo torsion |
j |
1625964918479/10818005625 |
j-invariant |
L |
3.6578617852271 |
L(r)(E,1)/r! |
Ω |
0.92973883692966 |
Real period |
R |
0.98357238611938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28035e3 46725c3 65415d3 |
Quadratic twists by: -3 5 -7 |