Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cw |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32513040505257984 = 214 · 32 · 76 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2504369,1526252049] |
[a1,a2,a3,a4,a6] |
j |
106022710798663038928/1984438507401 |
j-invariant |
L |
0.67974280705854 |
L(r)(E,1)/r! |
Ω |
0.33987140362461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728cg2 12432l2 |
Quadratic twists by: -4 8 |