Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14703a |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-638717154543 = -1 · 33 · 138 · 29 |
Discriminant |
Eigenvalues |
1 3+ 0 0 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2025,16632] |
[a1,a2,a3,a4,a6] |
Generators |
[29624:300504:343] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
4.9793695711288 |
L(r)(E,1)/r! |
Ω |
0.5764603343639 |
Real period |
R |
8.6378355531145 |
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 |
44109w1 1131a1 |
Quadratic twists by: -3 13 |