Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090s |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.2872362249479E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-653817465,7164686918925] |
[a1,a2,a3,a4,a6] |
j |
-42399988271198592369046442641/5880982475923016962500000 |
j-invariant |
L |
1.3547734956985 |
L(r)(E,1)/r! |
Ω |
0.042336674235676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bz5 |
Quadratic twists by: -3 |