Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fy |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
338564378880000000 = 214 · 33 · 57 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-395137408,-3023355764812] |
[a1,a2,a3,a4,a6] |
j |
106607603143751752938169/5290068420 |
j-invariant |
L |
4.8761270538557 |
L(r)(E,1)/r! |
Ω |
0.033861993181162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bq5 21840bd5 |
Quadratic twists by: -4 5 |