Atkin-Lehner |
3- 5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495n |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.3191145224717E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4075665,-3175787538] |
[a1,a2,a3,a4,a6] |
j |
-7487195245044207329442961/23191145224717228605 |
j-invariant |
L |
1.9122377389224 |
L(r)(E,1)/r! |
Ω |
0.05311771496987 |
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 |
100485j2 |
Quadratic twists by: -3 |