Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586bg |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
284955262959045492 = 22 · 38 · 118 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1176771245,-15537386236831] |
[a1,a2,a3,a4,a6] |
Generators |
[-1672179911685119:836396180461414:84431188603] |
Generators of the group modulo torsion |
j |
139545621883503188502625/220644468 |
j-invariant |
L |
12.548917640223 |
L(r)(E,1)/r! |
Ω |
0.02577665404453 |
Real period |
R |
20.284695104786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862i4 7326c4 |
Quadratic twists by: -3 -11 |