Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944ej |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-181560846057472 = -1 · 218 · 77 · 292 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29857,2078943] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1856:1] [2:1421:1] |
Generators of the group modulo torsion |
j |
-95443993/5887 |
j-invariant |
L |
8.5762986008314 |
L(r)(E,1)/r! |
Ω |
0.5608761526912 |
Real period |
R |
1.9113619289864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944ca1 22736bb1 12992be1 |
Quadratic twists by: -4 8 -7 |