Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282x |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
304152576 = 216 · 3 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182,420] |
[a1,a2,a3,a4,a6] |
j |
666940371553/304152576 |
j-invariant |
L |
6.182599971849 |
L(r)(E,1)/r! |
Ω |
1.5456499929623 |
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 |
74256bv1 27846u1 64974bg1 120666w1 |
Quadratic twists by: -4 -3 -7 13 |