Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bo |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-1.9767921897782E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8508173,23429353781] |
[a1,a2,a3,a4,a6] |
Generators |
[-3705:65752:1] |
Generators of the group modulo torsion |
j |
-93434027998388020077961/271164909434594918400 |
j-invariant |
L |
8.6306298064332 |
L(r)(E,1)/r! |
Ω |
0.088503722136616 |
Real period |
R |
2.0316070702275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14910z3 |
Quadratic twists by: -3 |