Atkin-Lehner |
3- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42705i |
Isogeny class |
Conductor |
42705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11965407401025 = 312 · 52 · 132 · 732 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6264,-91805] |
[a1,a2,a3,a4,a6] |
Generators |
[-14938:114281:343] |
Generators of the group modulo torsion |
j |
37289832236929/16413453225 |
j-invariant |
L |
8.0737987462638 |
L(r)(E,1)/r! |
Ω |
0.55883494076877 |
Real period |
R |
7.223777682159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14235a2 |
Quadratic twists by: -3 |