Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157t |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
193795173 = 36 · 112 · 133 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,-500] |
[a1,a2,a3,a4,a6] |
j |
6289657/2197 |
j-invariant |
L |
4.0730326936403 |
L(r)(E,1)/r! |
Ω |
1.3576775645468 |
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 |
1573c1 14157m1 |
Quadratic twists by: -3 -11 |