Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345a |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6437817225 = -1 · 310 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,298,3441] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:29:1] |
Generators of the group modulo torsion |
j |
2911343039639/6437817225 |
j-invariant |
L |
4.3407843172932 |
L(r)(E,1)/r! |
Ω |
0.92859538702032 |
Real period |
R |
2.3372850963765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28035c2 46725t2 65415o2 |
Quadratic twists by: -3 5 -7 |