Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840a |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4271260777518E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2721843,-1718810658] |
[a1,a2,a3,a4,a6] |
j |
110642422367713932/708061682825 |
j-invariant |
L |
1.4110177271597 |
L(r)(E,1)/r! |
Ω |
0.11758481060519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680c2 42840bg2 |
Quadratic twists by: -4 -3 |