Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448u |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
149647627008 = 28 · 37 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,-19366] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:1144:27] |
Generators of the group modulo torsion |
j |
2885794000/801867 |
j-invariant |
L |
7.1330855865896 |
L(r)(E,1)/r! |
Ω |
0.75966439842564 |
Real period |
R |
4.694892639979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18612l2 24816p2 |
Quadratic twists by: -4 -3 |