Atkin-Lehner |
2- 3- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bz |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
-6.0242957424572E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,88128220,195043409223] |
[a1,a2,a3,a4,a6] |
Generators |
[-559:381861:1] |
Generators of the group modulo torsion |
j |
103834382288427747542234375/82637801679797153169408 |
j-invariant |
L |
10.290967643991 |
L(r)(E,1)/r! |
Ω |
0.040181535330425 |
Real period |
R |
3.5571091291736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30702d1 |
Quadratic twists by: -3 |