Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bf |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5046876027072 = 26 · 33 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296135,62101119] |
[a1,a2,a3,a4,a6] |
Generators |
[323:-426:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
9.4587965530023 |
L(r)(E,1)/r! |
Ω |
0.65664040401624 |
Real period |
R |
1.2004029012773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222a4 198c2 |
Quadratic twists by: -3 17 |