Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611p |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-433586661235744203 = -1 · 38 · 115 · 177 |
Discriminant |
Eigenvalues |
0 3- -2 -1 11- -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-700536,-227893190] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:14305:1] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
2.4543053762083 |
L(r)(E,1)/r! |
Ω |
0.082454982244711 |
Real period |
R |
1.4882699076475 |
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 |
9537b1 1683f1 |
Quadratic twists by: -3 17 |