Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bp |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3771629568 = 215 · 34 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1153,14399] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:168:1] |
Generators of the group modulo torsion |
j |
5177717000/115101 |
j-invariant |
L |
6.0652320174954 |
L(r)(E,1)/r! |
Ω |
1.3966648153121 |
Real period |
R |
0.54283174737067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bf2 19488d2 116928dr2 |
Quadratic twists by: -4 8 -3 |