Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942l |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
276896541576524562 = 2 · 38 · 74 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1074744,-428550105] |
[a1,a2,a3,a4,a6] |
Generators |
[-20787578130:9105200377:35937000] |
Generators of the group modulo torsion |
j |
137289974744198148276097/276896541576524562 |
j-invariant |
L |
5.099425392484 |
L(r)(E,1)/r! |
Ω |
0.1482947982517 |
Real period |
R |
17.193541016283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826i6 |
Quadratic twists by: -3 |