Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490l |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-3073697280 = -1 · 29 · 39 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,306,1620] |
[a1,a2,a3,a4,a6] |
j |
4338722591/4216320 |
j-invariant |
L |
1.8692284597035 |
L(r)(E,1)/r! |
Ω |
0.93461422985175 |
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 |
43920ch1 1830k1 27450by1 |
Quadratic twists by: -4 -3 5 |