Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
43452i |
Isogeny class |
Conductor |
43452 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-2966061503088 = -1 · 24 · 312 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 5 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32277,2233505] |
[a1,a2,a3,a4,a6] |
Generators |
[112:153:1] |
Generators of the group modulo torsion |
j |
-318827436922624/254291967 |
j-invariant |
L |
4.440635419867 |
L(r)(E,1)/r! |
Ω |
0.79599980312547 |
Real period |
R |
0.92978151552628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14484a1 |
Quadratic twists by: -3 |