Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680be |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.350068015104E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12664083,-14944860718] |
[a1,a2,a3,a4,a6] |
j |
75224183150104868881/11219310000000000 |
j-invariant |
L |
2.9098778346626 |
L(r)(E,1)/r! |
Ω |
0.080829939851739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1710c2 54720el2 4560s2 68400fk2 |
Quadratic twists by: -4 8 -3 5 |