Atkin-Lehner |
5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7225b |
Isogeny class |
Conductor |
7225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108996210015625 = 56 · 178 |
Discriminant |
Eigenvalues |
1 0 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41092,-3156309] |
[a1,a2,a3,a4,a6] |
Generators |
[551230696086:-6049030627543:1902014919] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
5.3054816861484 |
L(r)(E,1)/r! |
Ω |
0.33560871921982 |
Real period |
R |
15.808533516298 |
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 |
115600bg2 65025bo2 289a2 425a2 |
Quadratic twists by: -4 -3 5 17 |