Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640cj |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1.2688465356224E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,333053,154590786] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:10200:1] |
Generators of the group modulo torsion |
j |
24718462497/76765625 |
j-invariant |
L |
7.5171281262876 |
L(r)(E,1)/r! |
Ω |
0.15858430936939 |
Real period |
R |
1.316707279897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165m1 66640ba1 |
Quadratic twists by: -4 -7 |