Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585z |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5278338262320795 = -1 · 311 · 5 · 76 · 373 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-86791152,-311215553168] |
[a1,a2,a3,a4,a6] |
Generators |
[11556949519780:-1681518981416117:460099648] |
Generators of the group modulo torsion |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
6.1073480103468 |
L(r)(E,1)/r! |
Ω |
0.024731513556667 |
Real period |
R |
20.578832199766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27195d2 1665c2 |
Quadratic twists by: -3 -7 |