Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322c |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-6.6117206642914E+19 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ 5 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441646,407309524] |
[a1,a2,a3,a4,a6] |
Generators |
[940:28202:1] |
Generators of the group modulo torsion |
j |
-164384733177/1140850688 |
j-invariant |
L |
2.9630167129551 |
L(r)(E,1)/r! |
Ω |
0.16843991298688 |
Real period |
R |
1.4659118200337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28322j1 1666c1 |
Quadratic twists by: -7 17 |