Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bj |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6467641344000000 = 219 · 37 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287787,-59296934] |
[a1,a2,a3,a4,a6] |
j |
882774443450089/2166000000 |
j-invariant |
L |
2.4738709629398 |
L(r)(E,1)/r! |
Ω |
0.20615591357831 |
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 |
1710t2 54720dz2 4560w2 68400en2 |
Quadratic twists by: -4 8 -3 5 |