Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536y |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2950629888 = 29 · 3 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832,8588] |
[a1,a2,a3,a4,a6] |
Generators |
[136205342:258157635:6028568] |
Generators of the group modulo torsion |
j |
124550539784/5762949 |
j-invariant |
L |
9.5088977862241 |
L(r)(E,1)/r! |
Ω |
1.4109642136897 |
Real period |
R |
13.478581092227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37536p3 75072ca4 112608v3 |
Quadratic twists by: -4 8 -3 |