Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150z |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4333824 |
Modular degree for the optimal curve |
Δ |
-2.2884082185917E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27435286,-55318180312] |
[a1,a2,a3,a4,a6] |
Generators |
[6842884941806:5557675934421799:10360232] |
Generators of the group modulo torsion |
j |
-14899652746105/1492992 |
j-invariant |
L |
4.4941561472912 |
L(r)(E,1)/r! |
Ω |
0.032982956124172 |
Real period |
R |
22.70948734033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150cf1 54150bp1 |
Quadratic twists by: 5 -19 |