Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222y |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4023175264054756128 = -1 · 25 · 316 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11- 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,299061,-73220891] |
[a1,a2,a3,a4,a6] |
Generators |
[285:5782:1] |
Generators of the group modulo torsion |
j |
168105213359/228637728 |
j-invariant |
L |
3.9363522227007 |
L(r)(E,1)/r! |
Ω |
0.13166548047001 |
Real period |
R |
3.7370769171157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074p2 198e2 |
Quadratic twists by: -3 17 |