Atkin-Lehner |
2+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642a |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-86242236436854784 = -1 · 211 · 11 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -1 -1 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1790840,922985792] |
[a1,a2,a3,a4,a6] |
Generators |
[751:-1474:1] |
Generators of the group modulo torsion |
j |
-131593395518018721/17867339776 |
j-invariant |
L |
2.3991449810336 |
L(r)(E,1)/r! |
Ω |
0.32843427085776 |
Real period |
R |
0.91309936000938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434i1 |
Quadratic twists by: 13 |