Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448t |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
344788132626432 = 216 · 39 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32211,2037906] |
[a1,a2,a3,a4,a6] |
Generators |
[31:1034:1] |
Generators of the group modulo torsion |
j |
45844273539/4276624 |
j-invariant |
L |
5.1236164021622 |
L(r)(E,1)/r! |
Ω |
0.52525926056326 |
Real period |
R |
2.4386130757183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306a2 74448q2 |
Quadratic twists by: -4 -3 |