Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222a |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4618206994522572 = 22 · 33 · 116 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42537,-833327] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1651:1] |
Generators of the group modulo torsion |
j |
13060888875/7086244 |
j-invariant |
L |
3.7699619512158 |
L(r)(E,1)/r! |
Ω |
0.35447687432043 |
Real period |
R |
2.6588208035524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bf4 198d2 |
Quadratic twists by: -3 17 |