Atkin-Lehner |
3+ 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40887a |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1809589888953 = -1 · 39 · 74 · 11 · 592 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-64711] |
[a1,a2,a3,a4,a6] |
Generators |
[26324:519909:64] |
Generators of the group modulo torsion |
j |
-421875/91936691 |
j-invariant |
L |
5.2793735832735 |
L(r)(E,1)/r! |
Ω |
0.38225842280545 |
Real period |
R |
6.9055032777635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887d2 |
Quadratic twists by: -3 |