Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586i |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
4080658424832 = 210 · 37 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39078,2981556] |
[a1,a2,a3,a4,a6] |
Generators |
[105:114:1] |
Generators of the group modulo torsion |
j |
6801760964123/4205568 |
j-invariant |
L |
3.2691706813923 |
L(r)(E,1)/r! |
Ω |
0.77261182279173 |
Real period |
R |
1.057830912629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862u1 80586bc1 |
Quadratic twists by: -3 -11 |