Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314v |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-33578167194 = -1 · 2 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,7398] |
[a1,a2,a3,a4,a6] |
Generators |
[398:2947:8] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
5.1576236215795 |
L(r)(E,1)/r! |
Ω |
0.80775337427856 |
Real period |
R |
3.1925732443929 |
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 |
3146l1 234e1 |
Quadratic twists by: -3 -11 |