Atkin-Lehner |
3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
76893d |
Isogeny class |
Conductor |
76893 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.5316958166458E+21 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4670986,-3400843109] |
[a1,a2,a3,a4,a6] |
Generators |
[-50805085952222520:599168421093782567:34391539008000] |
Generators of the group modulo torsion |
j |
239567526307316017/32557490349597 |
j-invariant |
L |
2.9232431186375 |
L(r)(E,1)/r! |
Ω |
0.10361914073716 |
Real period |
R |
28.211420217793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047a4 |
Quadratic twists by: -19 |