Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945x |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57732205625325 = 34 · 52 · 7 · 118 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20479,1065377] |
[a1,a2,a3,a4,a6] |
Generators |
[61:179:1] |
Generators of the group modulo torsion |
j |
949772224956959209/57732205625325 |
j-invariant |
L |
7.0852917682527 |
L(r)(E,1)/r! |
Ω |
0.61598385085078 |
Real period |
R |
2.8755996437515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835bp4 109725b4 |
Quadratic twists by: -3 5 |