Atkin-Lehner |
2- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088bc |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-542113792 = -1 · 220 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 2 5 11+ 3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-8033] |
[a1,a2,a3,a4,a6] |
j |
-169112377/2068 |
j-invariant |
L |
1.8310380697531 |
L(r)(E,1)/r! |
Ω |
0.4577595174389 |
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 |
33088r1 8272p1 |
Quadratic twists by: -4 8 |