Atkin-Lehner |
13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17407a |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29640 |
Modular degree for the optimal curve |
Δ |
-84020264263 = -1 · 138 · 103 |
Discriminant |
Eigenvalues |
1 2 -2 1 2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32451,2236616] |
[a1,a2,a3,a4,a6] |
Generators |
[139084:-46466:1331] |
Generators of the group modulo torsion |
j |
-4633210777/103 |
j-invariant |
L |
7.652051144825 |
L(r)(E,1)/r! |
Ω |
0.99760977802685 |
Real period |
R |
7.6703850677564 |
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 |
17407d1 |
Quadratic twists by: 13 |