Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870m |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.948577145237E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8324160,-9167111200] |
[a1,a2,a3,a4,a6] |
j |
87501897507774086005761/815991377947460000 |
j-invariant |
L |
1.0671860491818 |
L(r)(E,1)/r! |
Ω |
0.088932170765153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dc3 1430h3 64350ec3 |
Quadratic twists by: -4 -3 5 |