Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bf |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-181344959201280000 = -1 · 224 · 3 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,84499,18183848] |
[a1,a2,a3,a4,a6] |
Generators |
[803:24174:1] |
Generators of the group modulo torsion |
j |
18519167975/50331648 |
j-invariant |
L |
3.7357068360709 |
L(r)(E,1)/r! |
Ω |
0.22459089408798 |
Real period |
R |
2.7722308535265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800gn2 22050fa2 7350bo2 7350p2 |
Quadratic twists by: -4 -3 5 -7 |