Atkin-Lehner |
2+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13072c |
Isogeny class |
Conductor |
13072 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-109027591168 = -1 · 210 · 195 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 1 0 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3824,93680] |
[a1,a2,a3,a4,a6] |
Generators |
[46:114:1] |
Generators of the group modulo torsion |
j |
-6040751523268/106472257 |
j-invariant |
L |
6.1358978866227 |
L(r)(E,1)/r! |
Ω |
1.0577969762952 |
Real period |
R |
0.58006385196078 |
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 |
6536c1 52288p1 117648i1 |
Quadratic twists by: -4 8 -3 |