Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950el |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
20212664062500 = 22 · 37 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10355,345647] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2135:8] |
Generators of the group modulo torsion |
j |
10779215329/1774500 |
j-invariant |
L |
10.013238398277 |
L(r)(E,1)/r! |
Ω |
0.65304739712855 |
Real period |
R |
1.9166369934064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bg1 8190o1 |
Quadratic twists by: -3 5 |