Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898by |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-826606770604175132 = -1 · 22 · 117 · 139 |
Discriminant |
Eigenvalues |
2- 0 2 4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116304,-46301329] |
[a1,a2,a3,a4,a6] |
j |
-9261/44 |
j-invariant |
L |
5.8494736296068 |
L(r)(E,1)/r! |
Ω |
0.1169894725937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3718c1 40898v1 |
Quadratic twists by: -11 13 |