Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bx |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
201763872000 = 28 · 38 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,15950] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:180:1] |
Generators of the group modulo torsion |
j |
23086352/8649 |
j-invariant |
L |
5.5975454807735 |
L(r)(E,1)/r! |
Ω |
0.91648860882573 |
Real period |
R |
1.5268998969512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bd2 37200j2 111600bw2 |
Quadratic twists by: -4 -3 5 |