Atkin-Lehner |
13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17407d |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2280 |
Modular degree for the optimal curve |
Δ |
-17407 = -1 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 2 2 -1 -2 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192,944] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
-4633210777/103 |
j-invariant |
L |
5.0365401802204 |
L(r)(E,1)/r! |
Ω |
3.5969332075801 |
Real period |
R |
1.4002317778953 |
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 |
17407a1 |
Quadratic twists by: 13 |