Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832y |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40821387264 = 212 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8209,-283391] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:4:1] |
Generators of the group modulo torsion |
j |
14937827321152/9966159 |
j-invariant |
L |
3.3525435153371 |
L(r)(E,1)/r! |
Ω |
0.50157972675996 |
Real period |
R |
1.6709923350538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832bf3 41664do1 62496m4 |
Quadratic twists by: -4 8 -3 |