Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590be |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1154304 |
Modular degree for the optimal curve |
Δ |
-5584590006574218750 = -1 · 2 · 39 · 59 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2729363,1739964017] |
[a1,a2,a3,a4,a6] |
j |
-3084465621865350349801/7660617292968750 |
j-invariant |
L |
1.9300858792201 |
L(r)(E,1)/r! |
Ω |
0.24126073489835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530j1 |
Quadratic twists by: -3 |