Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680i |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.151101206E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-661683,127564882] |
[a1,a2,a3,a4,a6] |
j |
21459330184836962/7710029296875 |
j-invariant |
L |
0.83034467849134 |
L(r)(E,1)/r! |
Ω |
0.20758616962283 |
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 |
6840g2 54720ey2 4560h2 68400bi2 |
Quadratic twists by: -4 8 -3 5 |