Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840cn |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
107752627978203600 = 24 · 313 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119622,2039861] |
[a1,a2,a3,a4,a6] |
j |
16229658398623744/9238051095525 |
j-invariant |
L |
3.4451709041162 |
L(r)(E,1)/r! |
Ω |
0.28709757535217 |
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 |
85680bx1 14280e1 |
Quadratic twists by: -4 -3 |