Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680j |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1010568960 = -1 · 28 · 37 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,-1802] |
[a1,a2,a3,a4,a6] |
j |
-3631696/5415 |
j-invariant |
L |
2.4649582220576 |
L(r)(E,1)/r! |
Ω |
0.61623955551439 |
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 |
6840h1 54720fa1 4560i1 68400bj1 |
Quadratic twists by: -4 8 -3 5 |