Atkin-Lehner |
3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13083a |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17808 |
Modular degree for the optimal curve |
Δ |
1539201867 = 3 · 78 · 89 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 5 -6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8796,313881] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1:1] |
Generators of the group modulo torsion |
j |
13057865737/267 |
j-invariant |
L |
3.6542219477838 |
L(r)(E,1)/r! |
Ω |
1.3891464962859 |
Real period |
R |
2.6305518946734 |
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 |
39249d1 13083g1 |
Quadratic twists by: -3 -7 |