Atkin-Lehner |
11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88451a |
Isogeny class |
Conductor |
88451 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-83732414013339971 = -1 · 118 · 173 · 433 |
Discriminant |
Eigenvalues |
0 1 -3 -1 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-54127,14723682] |
[a1,a2,a3,a4,a6] |
Generators |
[-1782:31773:8] |
Generators of the group modulo torsion |
j |
-81814847488/390617891 |
j-invariant |
L |
4.4602846247642 |
L(r)(E,1)/r! |
Ω |
0.29649363420882 |
Real period |
R |
5.0144804886883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88451e2 |
Quadratic twists by: -11 |