Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914c |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9744 |
Modular degree for the optimal curve |
Δ |
-146751488 = -1 · 214 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 4 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303,2082] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:68:1] |
Generators of the group modulo torsion |
j |
-18117691969/868352 |
j-invariant |
L |
2.6198056298418 |
L(r)(E,1)/r! |
Ω |
1.8132890480553 |
Real period |
R |
0.72239051811718 |
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 |
17914g1 |
Quadratic twists by: 13 |