Atkin-Lehner |
3- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42705i |
Isogeny class |
Conductor |
42705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
229788777538125 = 318 · 54 · 13 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48969,4118908] |
[a1,a2,a3,a4,a6] |
Generators |
[104:326:1] |
Generators of the group modulo torsion |
j |
17814140715089809/315210943125 |
j-invariant |
L |
8.0737987462638 |
L(r)(E,1)/r! |
Ω |
0.55883494076877 |
Real period |
R |
3.6118888410795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14235a3 |
Quadratic twists by: -3 |