Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680z |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1024043212800 = -1 · 213 · 36 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400323,-97490878] |
[a1,a2,a3,a4,a6] |
Generators |
[16341937:514458110:12167] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
4.6373732989743 |
L(r)(E,1)/r! |
Ω |
0.094900154528581 |
Real period |
R |
12.216453497917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1710e2 54720ev2 1520j2 68400ea2 |
Quadratic twists by: -4 8 -3 5 |