Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680t |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-82083463776000 = -1 · 28 · 39 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5793,-401506] |
[a1,a2,a3,a4,a6] |
Generators |
[58:360:1] |
Generators of the group modulo torsion |
j |
115203799856/439833375 |
j-invariant |
L |
4.8691691849749 |
L(r)(E,1)/r! |
Ω |
0.30879579034653 |
Real period |
R |
2.6280416471517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6840u1 54720dt1 4560a1 68400bf1 |
Quadratic twists by: -4 8 -3 5 |