Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157v |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-57756982725303147 = -1 · 313 · 118 · 132 |
Discriminant |
Eigenvalues |
-2 3- 2 3 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1289739,563887134] |
[a1,a2,a3,a4,a6] |
j |
-1518309117952/369603 |
j-invariant |
L |
1.3734355282953 |
L(r)(E,1)/r! |
Ω |
0.34335888207383 |
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 |
4719m1 14157o1 |
Quadratic twists by: -3 -11 |