Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487m |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1090025886051297 = -1 · 37 · 139 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 -3 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46422,4176225] |
[a1,a2,a3,a4,a6] |
Generators |
[192:1425:1] |
Generators of the group modulo torsion |
j |
-3144219625/309777 |
j-invariant |
L |
5.258112337858 |
L(r)(E,1)/r! |
Ω |
0.4784483205628 |
Real period |
R |
1.3737409327388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829i1 5499g1 |
Quadratic twists by: -3 13 |