Atkin-Lehner |
7+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
105287b |
Isogeny class |
Conductor |
105287 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-50540363431649 = -1 · 76 · 136 · 89 |
Discriminant |
Eigenvalues |
-1 -1 -1 7+ 4 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4644,321550] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:360:1] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
3.1675600587012 |
L(r)(E,1)/r! |
Ω |
0.45389567107252 |
Real period |
R |
1.7446520594523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999666892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
623a1 |
Quadratic twists by: 13 |