Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706p |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
1398592 = 26 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -3 -2 0 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28,16] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] [-1:7:1] |
Generators of the group modulo torsion |
j |
1473417/832 |
j-invariant |
L |
3.8981848754258 |
L(r)(E,1)/r! |
Ω |
2.3269603877264 |
Real period |
R |
0.83761307153837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43706g1 |
Quadratic twists by: 41 |