Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bc |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136224 |
Modular degree for the optimal curve |
Δ |
-134690688005302 = -1 · 2 · 119 · 134 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14059,854065] |
[a1,a2,a3,a4,a6] |
j |
-4563/2 |
j-invariant |
L |
3.2769580711903 |
L(r)(E,1)/r! |
Ω |
0.54615967851964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898b1 40898c1 |
Quadratic twists by: -11 13 |