Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088k |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-99528704 = -1 · 212 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,480] |
[a1,a2,a3,a4,a6] |
j |
-1728/24299 |
j-invariant |
L |
1.5133814464975 |
L(r)(E,1)/r! |
Ω |
1.5133814465069 |
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 |
33088i2 16544a1 |
Quadratic twists by: -4 8 |