Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898l |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1044576 |
Modular degree for the optimal curve |
Δ |
-4372791954958974976 = -1 · 218 · 112 · 1310 |
Discriminant |
Eigenvalues |
2+ 2 1 -2 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1642852,816022992] |
[a1,a2,a3,a4,a6] |
j |
-29396833609/262144 |
j-invariant |
L |
1.9742938071077 |
L(r)(E,1)/r! |
Ω |
0.24678672587909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bn1 40898bo1 |
Quadratic twists by: -11 13 |