Atkin-Lehner |
2+ 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202a |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1864896 |
Modular degree for the optimal curve |
Δ |
-249504027793944014 = -1 · 2 · 711 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99206,26832538] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:5841:1] |
Generators of the group modulo torsion |
j |
-3780689059628377/8735829550574 |
j-invariant |
L |
4.2551749443202 |
L(r)(E,1)/r! |
Ω |
0.27637224787136 |
Real period |
R |
2.5660891029622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202ba1 |
Quadratic twists by: 13 |