Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898bf |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-41443288617016 = -1 · 23 · 119 · 133 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42897,-3437279] |
[a1,a2,a3,a4,a6] |
Generators |
[252:1205:1] |
Generators of the group modulo torsion |
j |
-1685159/8 |
j-invariant |
L |
3.6997969764637 |
L(r)(E,1)/r! |
Ω |
0.16582096639912 |
Real period |
R |
1.8593331193299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898e1 40898d1 |
Quadratic twists by: -11 13 |