Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728cl |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
471023616 = 214 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,-4305] |
[a1,a2,a3,a4,a6] |
j |
830321872/28749 |
j-invariant |
L |
4.0524748150823 |
L(r)(E,1)/r! |
Ω |
1.0131187038544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dc2 6216o2 |
Quadratic twists by: -4 8 |