Atkin-Lehner |
2+ 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846k |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50047588122624 = 214 · 36 · 232 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-786048,-268042240] |
[a1,a2,a3,a4,a6] |
Generators |
[12601138:221593543:10648] |
Generators of the group modulo torsion |
j |
73678995396793198593/68652384256 |
j-invariant |
L |
3.2948314218974 |
L(r)(E,1)/r! |
Ω |
0.16033830430448 |
Real period |
R |
10.274623509928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4094e2 |
Quadratic twists by: -3 |