Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240a |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.3251789112864E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7765443,-8320294242] |
[a1,a2,a3,a4,a6] |
Generators |
[313407999223969444658:26850255576684601685624:37380649776687881] |
Generators of the group modulo torsion |
j |
1284698378740006566/1569103421875 |
j-invariant |
L |
5.8340765882206 |
L(r)(E,1)/r! |
Ω |
0.090446100321948 |
Real period |
R |
32.25167567622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75240ba2 |
Quadratic twists by: -3 |