Atkin-Lehner |
3- 11+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80883k |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-124478937 = -1 · 36 · 11 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3- 4 -2 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,1284] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:50:1] |
Generators of the group modulo torsion |
j |
-1263214441/170753 |
j-invariant |
L |
5.3071539629081 |
L(r)(E,1)/r! |
Ω |
1.7992414165374 |
Real period |
R |
1.4748309805794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8987d1 |
Quadratic twists by: -3 |