Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bh |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2920199159808 = 216 · 32 · 7 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6497,-181887] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:965:8] |
Generators of the group modulo torsion |
j |
462859546468/44558703 |
j-invariant |
L |
5.8053404421737 |
L(r)(E,1)/r! |
Ω |
0.53504818123289 |
Real period |
R |
5.4250632427127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976n3 9744g3 116928eu3 |
Quadratic twists by: -4 8 -3 |