Atkin-Lehner |
3+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52887b |
Isogeny class |
Conductor |
52887 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75888 |
Modular degree for the optimal curve |
Δ |
-3829690835109 = -1 · 32 · 178 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3173,65606] |
[a1,a2,a3,a4,a6] |
j |
506447/549 |
j-invariant |
L |
1.0418326360395 |
L(r)(E,1)/r! |
Ω |
0.5209163190993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52887c1 |
Quadratic twists by: 17 |