Atkin-Lehner |
3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659m |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11261952 |
Modular degree for the optimal curve |
Δ |
-2.3577952720376E+20 |
Discriminant |
Eigenvalues |
-1 3- 4 -4 2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15882756,-24375866697] |
[a1,a2,a3,a4,a6] |
j |
-395931982607/210681 |
j-invariant |
L |
3.6299068527168 |
L(r)(E,1)/r! |
Ω |
0.037811528339226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112659n1 |
Quadratic twists by: -47 |