Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3816b |
Isogeny class |
Conductor |
3816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-237385728 = -1 · 211 · 37 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 5 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-1010] |
[a1,a2,a3,a4,a6] |
j |
-235298/159 |
j-invariant |
L |
1.3310346510041 |
L(r)(E,1)/r! |
Ω |
0.66551732550206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7632b1 30528z1 1272b1 95400bc1 |
Quadratic twists by: -4 8 -3 5 |