Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840br |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
333123840000 = 211 · 37 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137163,-19552538] |
[a1,a2,a3,a4,a6] |
j |
191151256680722/223125 |
j-invariant |
L |
1.9846335476395 |
L(r)(E,1)/r! |
Ω |
0.24807919344797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bm4 14280w4 |
Quadratic twists by: -4 -3 |