Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222p |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16989869509668 = -1 · 22 · 310 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207,198369] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-453:1] |
Generators of the group modulo torsion |
j |
-274625/4743684 |
j-invariant |
L |
4.7969575329448 |
L(r)(E,1)/r! |
Ω |
0.55429001869511 |
Real period |
R |
0.54088985134142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074z2 57222c2 |
Quadratic twists by: -3 17 |