Atkin-Lehner |
2+ 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666b |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.3370424788828E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 1 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2393685,-5742391563] |
[a1,a2,a3,a4,a6] |
Generators |
[2874:103971:1] |
Generators of the group modulo torsion |
j |
-2080641615880325294161/18340774744620220416 |
j-invariant |
L |
2.6419915395473 |
L(r)(E,1)/r! |
Ω |
0.053185793663071 |
Real period |
R |
2.0697816697413 |
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 |
6222e1 |
Quadratic twists by: -3 |