Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789j |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-853115605587 = -1 · 36 · 79 · 29 |
Discriminant |
Eigenvalues |
2 3- 2 7- 0 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1029,46219] |
[a1,a2,a3,a4,a6] |
Generators |
[32144:802973:4096] |
Generators of the group modulo torsion |
j |
-4096/29 |
j-invariant |
L |
10.152811346804 |
L(r)(E,1)/r! |
Ω |
0.76502860145879 |
Real period |
R |
6.6355763218814 |
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 |
1421i1 12789k1 |
Quadratic twists by: -3 -7 |