Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57528k |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4541372614656 = 211 · 310 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,-105050] |
[a1,a2,a3,a4,a6] |
Generators |
[76630:1883574:125] |
Generators of the group modulo torsion |
j |
10773969554/3041793 |
j-invariant |
L |
8.5926112677626 |
L(r)(E,1)/r! |
Ω |
0.57263086320806 |
Real period |
R |
7.5027489956634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056j2 19176a2 |
Quadratic twists by: -4 -3 |