Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555u |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
28578272121945 = 35 · 5 · 77 · 134 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11443,393761] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/242911305 |
j-invariant |
L |
3.1664988513395 |
L(r)(E,1)/r! |
Ω |
0.6332997702679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28665x1 47775q1 1365a1 124215cd1 |
Quadratic twists by: -3 5 -7 13 |