Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586y |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1047454009424064 = -1 · 26 · 38 · 113 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25321,133103] |
[a1,a2,a3,a4,a6] |
Generators |
[69:1450:1] |
Generators of the group modulo torsion |
j |
1850447497933/1079516736 |
j-invariant |
L |
13.374125575749 |
L(r)(E,1)/r! |
Ω |
0.2972701180161 |
Real period |
R |
1.8745753388243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862e2 80586e2 |
Quadratic twists by: -3 -11 |