Atkin-Lehner |
2- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52706c |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-13213789487041394 = -1 · 2 · 198 · 733 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -6 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,59016,-364174] |
[a1,a2,a3,a4,a6] |
Generators |
[4302410:170250121:2744] |
Generators of the group modulo torsion |
j |
1338454943/778034 |
j-invariant |
L |
12.567848795634 |
L(r)(E,1)/r! |
Ω |
0.23574170961508 |
Real period |
R |
5.9235493211411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52706b2 |
Quadratic twists by: -19 |