Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bl |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1132272589012992 = 216 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31969,1479167] |
[a1,a2,a3,a4,a6] |
j |
55137176303332/17277108597 |
j-invariant |
L |
1.8087161557705 |
L(r)(E,1)/r! |
Ω |
0.45217903898017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728do3 6216m3 |
Quadratic twists by: -4 8 |