Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659b |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17484000 |
Modular degree for the optimal curve |
Δ |
-1.8148028802049E+25 |
Discriminant |
Eigenvalues |
0 3+ -1 0 -1 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,42290569,175496416880] |
[a1,a2,a3,a4,a6] |
j |
159028772864/345025251 |
j-invariant |
L |
0.047851199611564 |
L(r)(E,1)/r! |
Ω |
0.047851031445959 |
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 |
112659a1 |
Quadratic twists by: -47 |