Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661f |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2684936813291986743 = -1 · 33 · 78 · 297 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-659362,220588751] |
[a1,a2,a3,a4,a6] |
Generators |
[427:3902:1] |
Generators of the group modulo torsion |
j |
-53297461115137/4513839183 |
j-invariant |
L |
5.743638979194 |
L(r)(E,1)/r! |
Ω |
0.25040673774069 |
Real period |
R |
1.911436512923 |
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 |
52983h1 123627e1 609b1 |
Quadratic twists by: -3 -7 29 |