Atkin-Lehner |
13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17407c |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
184592520585811 = 1311 · 103 |
Discriminant |
Eigenvalues |
-1 -1 -1 -4 4 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23241,-1206548] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:140:1] |
Generators of the group modulo torsion |
j |
287626699801/38243179 |
j-invariant |
L |
1.7344383499177 |
L(r)(E,1)/r! |
Ω |
0.39006371442547 |
Real period |
R |
2.2232756928857 |
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 |
1339a1 |
Quadratic twists by: 13 |