Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157n |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-1.3123028219441E+20 |
Discriminant |
Eigenvalues |
2 3- 0 3 11- 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1098075,-707054153] |
[a1,a2,a3,a4,a6] |
Generators |
[193651428670:-23144882542223:13481272] |
Generators of the group modulo torsion |
j |
-7744000000/6940323 |
j-invariant |
L |
10.288734415472 |
L(r)(E,1)/r! |
Ω |
0.071093130097164 |
Real period |
R |
18.090240226816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719e1 14157u1 |
Quadratic twists by: -3 -11 |