Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bf |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
29363642339328 = 212 · 33 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18695,953343] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1166:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
9.4587965530023 |
L(r)(E,1)/r! |
Ω |
0.65664040401624 |
Real period |
R |
0.60020145063866 |
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 |
57222a3 198c1 |
Quadratic twists by: -3 17 |