Atkin-Lehner |
2- 3- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638n |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-1551252187008 = -1 · 27 · 311 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -1 -5 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2299,-42883] |
[a1,a2,a3,a4,a6] |
Generators |
[150:569:8] [19:76:1] |
Generators of the group modulo torsion |
j |
1844124275447/2127917952 |
j-invariant |
L |
9.9328712953278 |
L(r)(E,1)/r! |
Ω |
0.45565078741455 |
Real period |
R |
0.38927333519764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546e1 |
Quadratic twists by: -3 |