Atkin-Lehner |
2+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670a |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
527398123101920 = 25 · 5 · 78 · 833 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20459,216822] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:584:1] [-132:854:1] |
Generators of the group modulo torsion |
j |
164271447529/91485920 |
j-invariant |
L |
4.2186338893775 |
L(r)(E,1)/r! |
Ω |
0.45102904896381 |
Real period |
R |
9.3533529582382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40670h1 |
Quadratic twists by: -7 |