Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bc |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.2857803941243E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-397562139,2963216174373] |
[a1,a2,a3,a4,a6] |
Generators |
[76846014:609124663:5832] |
Generators of the group modulo torsion |
j |
9532597152396244075685450929/313550122650789880627200 |
j-invariant |
L |
3.1692425352321 |
L(r)(E,1)/r! |
Ω |
0.055522108305709 |
Real period |
R |
14.270182779182 |
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 |
102960eg2 4290y2 64350ej2 |
Quadratic twists by: -4 -3 5 |