Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8514c |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
3177833472 = 210 · 38 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-702,6804] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:122:1] |
Generators of the group modulo torsion |
j |
52523718625/4359168 |
j-invariant |
L |
2.690144330615 |
L(r)(E,1)/r! |
Ω |
1.3846544314913 |
Real period |
R |
1.9428272278143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112br1 2838d1 93654bn1 |
Quadratic twists by: -4 -3 -11 |