Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655i |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
6956806267125 = 311 · 53 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5355,82876] |
[a1,a2,a3,a4,a6] |
j |
815730721/334125 |
j-invariant |
L |
4.0625249631428 |
L(r)(E,1)/r! |
Ω |
0.67708749232329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885o1 83655bg1 |
Quadratic twists by: -3 13 |