Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ch |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1246937735355E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4397397123,-111072602412178] |
[a1,a2,a3,a4,a6] |
Generators |
[2438785150028016199250593748568674581027732360435965793198530537077538248785:-583167537857349320106979713727811161806021158139272953265146887906809236975952:22659744645123682839322451660274676788316016769052623541501042631745875] |
Generators of the group modulo torsion |
j |
521902963282042184836/6241849278890625 |
j-invariant |
L |
8.6098310892078 |
L(r)(E,1)/r! |
Ω |
0.018553022166115 |
Real period |
R |
116.01655800493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34680l2 6120z2 |
Quadratic twists by: -3 17 |