Atkin-Lehner |
2+ 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816b |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5158867968 = 210 · 34 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-912,-10332] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:24:1] |
Generators of the group modulo torsion |
j |
82013318212/5037957 |
j-invariant |
L |
7.4198212683107 |
L(r)(E,1)/r! |
Ω |
0.87202313252321 |
Real period |
R |
1.0635929527073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36408a2 |
Quadratic twists by: -4 |