Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768m |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.7613348806209E+23 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185443244,-971667495120] |
[a1,a2,a3,a4,a6] |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
2.6184059519119 |
L(r)(E,1)/r! |
Ω |
0.040912592999991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768cl4 1274k3 5824e4 |
Quadratic twists by: -4 8 -7 |