Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fx |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5305419135137E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-509905515,-4431825359206] |
[a1,a2,a3,a4,a6] |
Generators |
[167360593702949795:-16569119189623163834:5411914507693] |
Generators of the group modulo torsion |
j |
121681065322255375/12702096 |
j-invariant |
L |
7.2044299583683 |
L(r)(E,1)/r! |
Ω |
0.031770725341304 |
Real period |
R |
28.345394549558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bt2 25872bg2 77616fy2 |
Quadratic twists by: -4 -3 -7 |