Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bj |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5251435240973E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-745241,161473191] |
[a1,a2,a3,a4,a6] |
Generators |
[28478774:33987225:39304] |
Generators of the group modulo torsion |
j |
529475129/176418 |
j-invariant |
L |
9.4332004137887 |
L(r)(E,1)/r! |
Ω |
0.20389276846469 |
Real period |
R |
11.566374428828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074c2 57222bs2 |
Quadratic twists by: -3 17 |