Atkin-Lehner |
13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17407b |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-84020264263 = -1 · 138 · 103 |
Discriminant |
Eigenvalues |
-1 0 0 4 -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-370,14304] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2848:27] |
Generators of the group modulo torsion |
j |
-1157625/17407 |
j-invariant |
L |
2.9746465240251 |
L(r)(E,1)/r! |
Ω |
0.91286302641837 |
Real period |
R |
3.2585902133601 |
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 |
1339b1 |
Quadratic twists by: 13 |