Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864bg |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
573389549568 = 212 · 37 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3180,-58624] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:99:1] |
Generators of the group modulo torsion |
j |
1191016000/192027 |
j-invariant |
L |
3.8984541935718 |
L(r)(E,1)/r! |
Ω |
0.64269306999165 |
Real period |
R |
1.5164525551192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864w2 24288a2 |
Quadratic twists by: -4 -3 |