Atkin-Lehner |
3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887f |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1944935281621823337 = 39 · 712 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1062857,-416117600] |
[a1,a2,a3,a4,a6] |
Generators |
[80801960:978054413:64000] |
Generators of the group modulo torsion |
j |
6746158614880898667/98812949327939 |
j-invariant |
L |
2.3416096439933 |
L(r)(E,1)/r! |
Ω |
0.14882165864083 |
Real period |
R |
7.8671668673164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887c1 |
Quadratic twists by: -3 |