Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945k |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1227101640043125 = -1 · 3 · 54 · 73 · 114 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17262,1890861] |
[a1,a2,a3,a4,a6] |
j |
-568900557392365801/1227101640043125 |
j-invariant |
L |
1.7251205887048 |
L(r)(E,1)/r! |
Ω |
0.43128014717619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835l3 109725cb3 |
Quadratic twists by: -3 5 |