Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490c |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-16470 = -1 · 2 · 33 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 0 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,-389] |
[a1,a2,a3,a4,a6] |
j |
-4767078987/610 |
j-invariant |
L |
1.4907512674328 |
L(r)(E,1)/r! |
Ω |
0.74537563371641 |
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 |
43920ba1 5490p1 27450bi1 |
Quadratic twists by: -4 -3 5 |