Atkin-Lehner |
2- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088u |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-33882112 = -1 · 216 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 -1 11+ -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25580,-1574704] |
[a1,a2,a3,a4,a6] |
j |
-28245248626500/517 |
j-invariant |
L |
0.75501297452813 |
L(r)(E,1)/r! |
Ω |
0.1887532436313 |
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 |
33088l1 8272c1 |
Quadratic twists by: -4 8 |