Atkin-Lehner |
5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57475b |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8312686684091796875 = 510 · 119 · 192 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-506751,5992523] |
[a1,a2,a3,a4,a6] |
Generators |
[10646:323423:8] |
Generators of the group modulo torsion |
j |
390617891/225625 |
j-invariant |
L |
4.4005191321058 |
L(r)(E,1)/r! |
Ω |
0.19770370410897 |
Real period |
R |
5.5645380442766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495d2 57475e2 |
Quadratic twists by: 5 -11 |