Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157s |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
-6.2897354187855E+19 |
Discriminant |
Eigenvalues |
0 3- -2 5 11- 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-429215556,-3422640592418] |
[a1,a2,a3,a4,a6] |
j |
-462482914449031168/3326427 |
j-invariant |
L |
2.1228077527749 |
L(r)(E,1)/r! |
Ω |
0.016584435568554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719g1 14157i1 |
Quadratic twists by: -3 -11 |