Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792bo |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
163655847936 = 212 · 32 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2857,-56425] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5460:1] |
Generators of the group modulo torsion |
j |
629863565248/39955041 |
j-invariant |
L |
9.6704941773584 |
L(r)(E,1)/r! |
Ω |
0.65559098319852 |
Real period |
R |
3.6877010305252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57792j2 28896f1 |
Quadratic twists by: -4 8 |