Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792g |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4894284176474112 = 214 · 310 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112049,14075985] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1944:1] |
Generators of the group modulo torsion |
j |
9495800976618448/298723399443 |
j-invariant |
L |
2.2930753558308 |
L(r)(E,1)/r! |
Ω |
0.43037646607578 |
Real period |
R |
1.3320171621292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792df2 3612f2 |
Quadratic twists by: -4 8 |