Atkin-Lehner |
17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17629b |
Isogeny class |
Conductor |
17629 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
-1472391709 = -1 · 176 · 61 |
Discriminant |
Eigenvalues |
-1 2 3 -1 5 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-584,5494] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
2.9750356674288 |
L(r)(E,1)/r! |
Ω |
1.4875178337144 |
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 |
61a1 |
Quadratic twists by: 17 |