Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157l |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1211684952279087 = -1 · 314 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26159,2342486] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1069:1] |
Generators of the group modulo torsion |
j |
-1532808577/938223 |
j-invariant |
L |
3.3905447217894 |
L(r)(E,1)/r! |
Ω |
0.44984035645658 |
Real period |
R |
1.8843044388552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j1 1287e1 |
Quadratic twists by: -3 -11 |