Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678t |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
234596859904 = 220 · 112 · 432 |
Discriminant |
Eigenvalues |
2- -3 1 -3 11+ 5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3357,71973] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:360:1] |
Generators of the group modulo torsion |
j |
2262140290089/126877696 |
j-invariant |
L |
4.7150285990591 |
L(r)(E,1)/r! |
Ω |
0.97623250663956 |
Real period |
R |
0.12074553364547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678a1 |
Quadratic twists by: -43 |