Atkin-Lehner |
3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3417b |
Isogeny class |
Conductor |
3417 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-228939 = -1 · 3 · 17 · 672 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 1 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[11:33:1] |
Generators of the group modulo torsion |
j |
-28094464/228939 |
j-invariant |
L |
1.1605235974693 |
L(r)(E,1)/r! |
Ω |
1.3244259120457 |
Real period |
R |
0.43812326039314 |
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 |
54672bb1 10251k1 85425p1 58089h1 |
Quadratic twists by: -4 -3 5 17 |